Stats_Dist (owl-base.Owl_types.Stats

include Owl_types_stats_dist.Sig

include Owl_types_ndarray_mutable.Sig

include Owl_types_ndarray_algodiff.Sig

include Owl_types_ndarray_eltcmp.Sig

include Owl_types_ndarray_basic.Sig

type arr

type elt

val number : Owl_types_common.number

val empty : int array -> arr

val zeros : int array -> arr

val ones : int array -> arr

val create : int array -> elt -> arr

val sequential : ?a:elt -> ?step:elt -> int array -> arr

val uniform : ?a:elt -> ?b:elt -> int array -> arr

val gaussian : ?mu:elt -> ?sigma:elt -> int array -> arr

val bernoulli : ?p:elt -> int array -> arr

val init : int array -> (int -> elt) -> arr

val init_nd : int array -> (int array -> elt) -> arr

val shape : arr -> int array

val numel : arr -> int

val get : arr -> int array -> elt

val set : arr -> int array -> elt -> unit

val get_slice : int list list -> arr -> arr

val set_slice : int list list -> arr -> arr -> unit

val get_fancy : Owl_types_common.index list -> arr -> arr

val set_fancy : Owl_types_common.index list -> arr -> arr -> unit

val copy : arr -> arr

val copy_ : out:arr -> arr -> unit

val reset : arr -> unit

val reshape : arr -> int array -> arr

val reverse : arr -> arr

val tile : arr -> int array -> arr

val repeat : arr -> int array -> arr

val concatenate : ?axis:int -> arr array -> arr

val stack : ?axis:int -> arr array -> arr

val split : ?axis:int -> int array -> arr -> arr array

val expand : ?hi:bool -> arr -> int -> arr

val squeeze : ?axis:int array -> arr -> arr

val draw : ?axis:int -> arr -> int -> arr * int array

val map : (elt -> elt) -> arr -> arr

val fold : ?axis:int -> (elt -> elt -> elt) -> elt -> arr -> arr

val scan : ?axis:int -> (elt -> elt -> elt) -> arr -> arr

val one_hot : int -> arr -> arr

val pad : ?v:elt -> int list list -> arr -> arr

val print : 
  ?max_row:int ->
  ?max_col:int ->
  ?header:bool ->
  ?fmt:(elt -> string) ->
  arr ->
  unit

val abs : arr -> arr

val neg : arr -> arr

val floor : arr -> arr

val ceil : arr -> arr

val round : arr -> arr

val sqr : arr -> arr

val sqrt : arr -> arr

val log : arr -> arr

val log2 : arr -> arr

val log10 : arr -> arr

val exp : arr -> arr

val sin : arr -> arr

val cos : arr -> arr

val tan : arr -> arr

val sinh : arr -> arr

val cosh : arr -> arr

val tanh : arr -> arr

val asin : arr -> arr

val acos : arr -> arr

val atan : arr -> arr

val asinh : arr -> arr

val acosh : arr -> arr

val atanh : arr -> arr

val sum_reduce : ?axis:int array -> arr -> arr

val signum : arr -> arr

val sigmoid : arr -> arr

val relu : arr -> arr

val dawsn : arr -> arr

val min' : arr -> elt

val max' : arr -> elt

val sum' : arr -> elt

val log_sum_exp' : arr -> elt

val log_sum_exp : ?axis:int -> ?keep_dims:bool -> arr -> arr

val l1norm' : arr -> elt

val l2norm' : arr -> elt

val l2norm_sqr' : arr -> elt

val clip_by_value : ?amin:elt -> ?amax:elt -> arr -> arr

val clip_by_l2norm : elt -> arr -> arr

val pow : arr -> arr -> arr

val scalar_pow : elt -> arr -> arr

val pow_scalar : arr -> elt -> arr

val atan2 : arr -> arr -> arr

val scalar_atan2 : elt -> arr -> arr

val atan2_scalar : arr -> elt -> arr

val add : arr -> arr -> arr

val sub : arr -> arr -> arr

val mul : arr -> arr -> arr

val div : arr -> arr -> arr

val add_scalar : arr -> elt -> arr

val sub_scalar : arr -> elt -> arr

val mul_scalar : arr -> elt -> arr

val div_scalar : arr -> elt -> arr

val scalar_add : elt -> arr -> arr

val scalar_sub : elt -> arr -> arr

val scalar_mul : elt -> arr -> arr

val scalar_div : elt -> arr -> arr

val fma : arr -> arr -> arr -> arr

val conv1d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  arr

val conv2d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  arr

val conv3d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  arr

val dilated_conv1d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr

val dilated_conv2d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr

val dilated_conv3d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr

val transpose_conv1d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  arr

val transpose_conv2d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  arr

val transpose_conv3d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  arr

val max_pool1d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr

val max_pool2d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr

val max_pool3d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr

val avg_pool1d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr

val avg_pool2d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr

val avg_pool3d : 
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr

val upsampling2d : arr -> int array -> arr

val conv1d_backward_input : arr -> arr -> int array -> arr -> arr

val conv1d_backward_kernel : arr -> arr -> int array -> arr -> arr

val conv2d_backward_input : arr -> arr -> int array -> arr -> arr

val conv2d_backward_kernel : arr -> arr -> int array -> arr -> arr

val conv3d_backward_input : arr -> arr -> int array -> arr -> arr

val conv3d_backward_kernel : arr -> arr -> int array -> arr -> arr

val dilated_conv1d_backward_input : 
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val dilated_conv1d_backward_kernel : 
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val dilated_conv2d_backward_input : 
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val dilated_conv2d_backward_kernel : 
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val dilated_conv3d_backward_input : 
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val dilated_conv3d_backward_kernel : 
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val transpose_conv1d_backward_input : arr -> arr -> int array -> arr -> arr

val transpose_conv1d_backward_kernel : arr -> arr -> int array -> arr -> arr

val transpose_conv2d_backward_input : arr -> arr -> int array -> arr -> arr

val transpose_conv2d_backward_kernel : arr -> arr -> int array -> arr -> arr

val transpose_conv3d_backward_input : arr -> arr -> int array -> arr -> arr

val transpose_conv3d_backward_kernel : arr -> arr -> int array -> arr -> arr

val max_pool1d_backward : 
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val max_pool2d_backward : 
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val max_pool3d_backward : 
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val avg_pool1d_backward : 
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val avg_pool2d_backward : 
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val avg_pool3d_backward : 
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  arr

val upsampling2d_backward : arr -> int array -> arr -> arr

val row_num : arr -> int

val col_num : arr -> int

val row : arr -> int -> arr

val rows : arr -> int array -> arr

val copy_row_to : arr -> arr -> int -> unit

val copy_col_to : arr -> arr -> int -> unit

val dot : arr -> arr -> arr

val diag : ?k:int -> arr -> arr

val trace : arr -> elt

val transpose : ?axis:int array -> arr -> arr

val to_rows : arr -> arr array

val of_rows : arr array -> arr

val to_cols : arr -> arr array

val of_cols : arr array -> arr

val of_array : elt array -> int array -> arr

val of_arrays : elt array array -> arr

val float_to_elt : float -> elt

val elt_to_float : elt -> float

val elt_equal : arr -> arr -> arr

val elt_not_equal : arr -> arr -> arr

val elt_less : arr -> arr -> arr

val elt_greater : arr -> arr -> arr

val elt_less_equal : arr -> arr -> arr

val elt_greater_equal : arr -> arr -> arr

val elt_equal_scalar : arr -> elt -> arr

val elt_not_equal_scalar : arr -> elt -> arr

val elt_less_scalar : arr -> elt -> arr

val elt_greater_scalar : arr -> elt -> arr

val elt_less_equal_scalar : arr -> elt -> arr

val elt_greater_equal_scalar : arr -> elt -> arr

module Scalar : sig ... end

module Mat : sig ... end

module Linalg : sig ... end

val create_ : out:arr -> elt -> unit

val uniform_ : ?a:elt -> ?b:elt -> out:arr -> unit

val gaussian_ : ?mu:elt -> ?sigma:elt -> out:arr -> unit

val sequential_ : ?a:elt -> ?step:elt -> out:arr -> unit

val bernoulli_ : ?p:elt -> out:arr -> unit

val zeros_ : out:arr -> unit

val ones_ : out:arr -> unit

val one_hot_ : out:arr -> int -> arr -> unit

val get_slice_ : out:arr -> int list list -> arr -> unit

val set_slice_ : out:arr -> int list list -> arr -> arr -> unit

val sub_left : arr -> int -> int -> arr

val reshape_ : out:arr -> arr -> unit

val reverse_ : out:arr -> arr -> unit

val transpose_ : out:arr -> ?axis:int array -> arr -> unit

val repeat_ : out:arr -> arr -> int array -> unit

val tile_ : out:arr -> arr -> int array -> unit

val pad_ : out:arr -> ?v:elt -> int list list -> arr -> unit

val hypot : arr -> arr -> arr

val fmod : arr -> arr -> arr

val min2 : arr -> arr -> arr

val max2 : arr -> arr -> arr

val add_ : ?out:arr -> arr -> arr -> unit

val sub_ : ?out:arr -> arr -> arr -> unit

val mul_ : ?out:arr -> arr -> arr -> unit

val div_ : ?out:arr -> arr -> arr -> unit

val pow_ : ?out:arr -> arr -> arr -> unit

val atan2_ : ?out:arr -> arr -> arr -> unit

val hypot_ : ?out:arr -> arr -> arr -> unit

val fmod_ : ?out:arr -> arr -> arr -> unit

val min2_ : ?out:arr -> arr -> arr -> unit

val max2_ : ?out:arr -> arr -> arr -> unit

val add_scalar_ : ?out:arr -> arr -> elt -> unit

val sub_scalar_ : ?out:arr -> arr -> elt -> unit

val mul_scalar_ : ?out:arr -> arr -> elt -> unit

val div_scalar_ : ?out:arr -> arr -> elt -> unit

val pow_scalar_ : ?out:arr -> arr -> elt -> unit

val atan2_scalar_ : ?out:arr -> arr -> elt -> unit

val fmod_scalar_ : ?out:arr -> arr -> elt -> unit

val scalar_add_ : ?out:arr -> elt -> arr -> unit

val scalar_sub_ : ?out:arr -> elt -> arr -> unit

val scalar_mul_ : ?out:arr -> elt -> arr -> unit

val scalar_div_ : ?out:arr -> elt -> arr -> unit

val scalar_pow_ : ?out:arr -> elt -> arr -> unit

val scalar_atan2_ : ?out:arr -> elt -> arr -> unit

val scalar_fmod_ : ?out:arr -> elt -> arr -> unit

val fma_ : ?out:arr -> arr -> arr -> arr -> unit

val clip_by_value_ : ?out:arr -> ?amin:elt -> ?amax:elt -> arr -> unit

val clip_by_l2norm_ : ?out:arr -> elt -> arr -> unit

val dot_ : 
  ?transa:bool ->
  ?transb:bool ->
  ?alpha:elt ->
  ?beta:elt ->
  c:arr ->
  arr ->
  arr ->
  unit

val abs_ : ?out:arr -> arr -> unit

val neg_ : ?out:arr -> arr -> unit

val conj_ : ?out:arr -> arr -> unit

val reci_ : ?out:arr -> arr -> unit

val signum_ : ?out:arr -> arr -> unit

val sqr_ : ?out:arr -> arr -> unit

val sqrt_ : ?out:arr -> arr -> unit

val cbrt_ : ?out:arr -> arr -> unit

val exp_ : ?out:arr -> arr -> unit

val exp2_ : ?out:arr -> arr -> unit

val exp10_ : ?out:arr -> arr -> unit

val expm1_ : ?out:arr -> arr -> unit

val log_ : ?out:arr -> arr -> unit

val log2_ : ?out:arr -> arr -> unit

val log10_ : ?out:arr -> arr -> unit

val log1p_ : ?out:arr -> arr -> unit

val sin_ : ?out:arr -> arr -> unit

val cos_ : ?out:arr -> arr -> unit

val tan_ : ?out:arr -> arr -> unit

val asin_ : ?out:arr -> arr -> unit

val acos_ : ?out:arr -> arr -> unit

val atan_ : ?out:arr -> arr -> unit

val sinh_ : ?out:arr -> arr -> unit

val cosh_ : ?out:arr -> arr -> unit

val tanh_ : ?out:arr -> arr -> unit

val asinh_ : ?out:arr -> arr -> unit

val acosh_ : ?out:arr -> arr -> unit

val atanh_ : ?out:arr -> arr -> unit

val floor_ : ?out:arr -> arr -> unit

val ceil_ : ?out:arr -> arr -> unit

val round_ : ?out:arr -> arr -> unit

val trunc_ : ?out:arr -> arr -> unit

val fix_ : ?out:arr -> arr -> unit

val erf_ : ?out:arr -> arr -> unit

val erfc_ : ?out:arr -> arr -> unit

val relu_ : ?out:arr -> arr -> unit

val softplus_ : ?out:arr -> arr -> unit

val softsign_ : ?out:arr -> arr -> unit

val softmax_ : ?out:arr -> ?axis:int -> arr -> unit

val sigmoid_ : ?out:arr -> arr -> unit

val sum_ : out:arr -> axis:int -> arr -> unit

val min_ : out:arr -> axis:int -> arr -> unit

val max_ : out:arr -> axis:int -> arr -> unit

val sum : ?axis:int -> ?keep_dims:bool -> arr -> arr

val prod : ?axis:int -> ?keep_dims:bool -> arr -> arr

val min : ?axis:int -> ?keep_dims:bool -> arr -> arr

val max : ?axis:int -> ?keep_dims:bool -> arr -> arr

val mean : ?axis:int -> ?keep_dims:bool -> arr -> arr

val var : ?axis:int -> ?keep_dims:bool -> arr -> arr

val std : ?axis:int -> ?keep_dims:bool -> arr -> arr

val l1norm : ?axis:int -> ?keep_dims:bool -> arr -> arr

val l2norm : ?axis:int -> ?keep_dims:bool -> arr -> arr

val cumsum_ : ?out:arr -> ?axis:int -> arr -> unit

val cumprod_ : ?out:arr -> ?axis:int -> arr -> unit

val cummin_ : ?out:arr -> ?axis:int -> arr -> unit

val cummax_ : ?out:arr -> ?axis:int -> arr -> unit

val dropout_ : ?out:arr -> ?rate:float -> arr -> unit

val prod' : arr -> elt

val mean' : arr -> elt

val var' : arr -> elt

val std' : arr -> elt

val elt_equal_ : ?out:arr -> arr -> arr -> unit

val elt_not_equal_ : ?out:arr -> arr -> arr -> unit

val elt_less_ : ?out:arr -> arr -> arr -> unit

val elt_greater_ : ?out:arr -> arr -> arr -> unit

val elt_less_equal_ : ?out:arr -> arr -> arr -> unit

val elt_greater_equal_ : ?out:arr -> arr -> arr -> unit

val elt_equal_scalar_ : ?out:arr -> arr -> elt -> unit

val elt_not_equal_scalar_ : ?out:arr -> arr -> elt -> unit

val elt_less_scalar_ : ?out:arr -> arr -> elt -> unit

val elt_greater_scalar_ : ?out:arr -> arr -> elt -> unit

val elt_less_equal_scalar_ : ?out:arr -> arr -> elt -> unit

val elt_greater_equal_scalar_ : ?out:arr -> arr -> elt -> unit

val conv1d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  unit

val conv2d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  unit

val conv3d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  unit

val dilated_conv1d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  int array ->
  unit

val dilated_conv2d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  int array ->
  unit

val dilated_conv3d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  int array ->
  unit

val transpose_conv1d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  unit

val transpose_conv2d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  unit

val transpose_conv3d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  arr ->
  int array ->
  unit

val max_pool1d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  unit

val max_pool2d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  unit

val max_pool3d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  unit

val avg_pool1d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  unit

val avg_pool2d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  unit

val avg_pool3d_ : 
  out:arr ->
  ?padding:Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  unit

val upsampling2d_ : out:arr -> arr -> int array -> unit

val conv1d_backward_input_ : out:arr -> arr -> arr -> int array -> arr -> unit

val conv1d_backward_kernel_ : out:arr -> arr -> arr -> int array -> arr -> unit

val conv2d_backward_input_ : out:arr -> arr -> arr -> int array -> arr -> unit

val conv2d_backward_kernel_ : out:arr -> arr -> arr -> int array -> arr -> unit

val conv3d_backward_input_ : out:arr -> arr -> arr -> int array -> arr -> unit

val conv3d_backward_kernel_ : out:arr -> arr -> arr -> int array -> arr -> unit

val dilated_conv1d_backward_input_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val dilated_conv1d_backward_kernel_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val dilated_conv2d_backward_input_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val dilated_conv2d_backward_kernel_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val dilated_conv3d_backward_input_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val dilated_conv3d_backward_kernel_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val transpose_conv1d_backward_input_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  arr ->
  unit

val transpose_conv1d_backward_kernel_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  arr ->
  unit

val transpose_conv2d_backward_input_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  arr ->
  unit

val transpose_conv2d_backward_kernel_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  arr ->
  unit

val transpose_conv3d_backward_input_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  arr ->
  unit

val transpose_conv3d_backward_kernel_ : 
  out:arr ->
  arr ->
  arr ->
  int array ->
  arr ->
  unit

val max_pool1d_backward_ : 
  out:arr ->
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val max_pool2d_backward_ : 
  out:arr ->
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val max_pool3d_backward_ : 
  out:arr ->
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val avg_pool1d_backward_ : 
  out:arr ->
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val avg_pool2d_backward_ : 
  out:arr ->
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val avg_pool3d_backward_ : 
  out:arr ->
  Owl_types_common.padding ->
  arr ->
  int array ->
  int array ->
  arr ->
  unit

val upsampling2d_backward_ : out:arr -> arr -> int array -> arr -> unit

val fused_adagrad_ : ?out:arr -> rate:float -> eps:float -> arr -> unit

val uniform_rvs : a:arr -> b:arr -> n:int -> arr

val uniform_pdf : a:arr -> b:arr -> arr -> arr

val uniform_logpdf : a:arr -> b:arr -> arr -> arr

val uniform_cdf : a:arr -> b:arr -> arr -> arr

val uniform_logcdf : a:arr -> b:arr -> arr -> arr

val uniform_ppf : a:arr -> b:arr -> arr -> arr

val uniform_sf : a:arr -> b:arr -> arr -> arr

val uniform_logsf : a:arr -> b:arr -> arr -> arr

val uniform_isf : a:arr -> b:arr -> arr -> arr

val gaussian_rvs : mu:arr -> sigma:arr -> n:int -> arr

val gaussian_pdf : mu:arr -> sigma:arr -> arr -> arr

val gaussian_logpdf : mu:arr -> sigma:arr -> arr -> arr

val gaussian_cdf : mu:arr -> sigma:arr -> arr -> arr

val gaussian_logcdf : mu:arr -> sigma:arr -> arr -> arr

val gaussian_ppf : mu:arr -> sigma:arr -> arr -> arr

val gaussian_sf : mu:arr -> sigma:arr -> arr -> arr

val gaussian_logsf : mu:arr -> sigma:arr -> arr -> arr

val gaussian_isf : mu:arr -> sigma:arr -> arr -> arr

val exponential_rvs : lambda:arr -> n:int -> arr

val exponential_pdf : lambda:arr -> arr -> arr

val exponential_logpdf : lambda:arr -> arr -> arr

val exponential_cdf : lambda:arr -> arr -> arr

val exponential_logcdf : lambda:arr -> arr -> arr

val exponential_ppf : lambda:arr -> arr -> arr

val exponential_sf : lambda:arr -> arr -> arr

val exponential_logsf : lambda:arr -> arr -> arr

val exponential_isf : lambda:arr -> arr -> arr

val poisson_rvs : mu:arr -> n:int -> arr

val gamma_rvs : shape:arr -> scale:arr -> n:int -> arr

val gamma_pdf : shape:arr -> scale:arr -> arr -> arr

val gamma_logpdf : shape:arr -> scale:arr -> arr -> arr

val gamma_cdf : shape:arr -> scale:arr -> arr -> arr

val gamma_logcdf : shape:arr -> scale:arr -> arr -> arr

val gamma_ppf : shape:arr -> scale:arr -> arr -> arr

val gamma_sf : shape:arr -> scale:arr -> arr -> arr

val gamma_logsf : shape:arr -> scale:arr -> arr -> arr

val gamma_isf : shape:arr -> scale:arr -> arr -> arr

val beta_rvs : a:arr -> b:arr -> n:int -> arr

val beta_pdf : a:arr -> b:arr -> arr -> arr

val beta_logpdf : a:arr -> b:arr -> arr -> arr

val beta_cdf : a:arr -> b:arr -> arr -> arr

val beta_logcdf : a:arr -> b:arr -> arr -> arr

val beta_ppf : a:arr -> b:arr -> arr -> arr

val beta_sf : a:arr -> b:arr -> arr -> arr

val beta_logsf : a:arr -> b:arr -> arr -> arr

val beta_isf : a:arr -> b:arr -> arr -> arr

val chi2_rvs : df:arr -> n:int -> arr

val chi2_pdf : df:arr -> arr -> arr

val chi2_logpdf : df:arr -> arr -> arr

val chi2_cdf : df:arr -> arr -> arr

val chi2_logcdf : df:arr -> arr -> arr

val chi2_ppf : df:arr -> arr -> arr

val chi2_sf : df:arr -> arr -> arr

val chi2_logsf : df:arr -> arr -> arr

val chi2_isf : df:arr -> arr -> arr

val f_rvs : dfnum:arr -> dfden:arr -> n:int -> arr

val f_pdf : dfnum:arr -> dfden:arr -> arr -> arr

val f_logpdf : dfnum:arr -> dfden:arr -> arr -> arr

val f_cdf : dfnum:arr -> dfden:arr -> arr -> arr

val f_logcdf : dfnum:arr -> dfden:arr -> arr -> arr

val f_ppf : dfnum:arr -> dfden:arr -> arr -> arr

val f_sf : dfnum:arr -> dfden:arr -> arr -> arr

val f_logsf : dfnum:arr -> dfden:arr -> arr -> arr

val f_isf : dfnum:arr -> dfden:arr -> arr -> arr

val cauchy_rvs : loc:arr -> scale:arr -> n:int -> arr

val cauchy_pdf : loc:arr -> scale:arr -> arr -> arr

val cauchy_logpdf : loc:arr -> scale:arr -> arr -> arr

val cauchy_cdf : loc:arr -> scale:arr -> arr -> arr

val cauchy_logcdf : loc:arr -> scale:arr -> arr -> arr

val cauchy_ppf : loc:arr -> scale:arr -> arr -> arr

val cauchy_sf : loc:arr -> scale:arr -> arr -> arr

val cauchy_logsf : loc:arr -> scale:arr -> arr -> arr

val cauchy_isf : loc:arr -> scale:arr -> arr -> arr

val lomax_rvs : shape:arr -> scale:arr -> n:int -> arr

val lomax_pdf : shape:arr -> scale:arr -> arr -> arr

val lomax_logpdf : shape:arr -> scale:arr -> arr -> arr

val lomax_cdf : shape:arr -> scale:arr -> arr -> arr

val lomax_logcdf : shape:arr -> scale:arr -> arr -> arr

val lomax_ppf : shape:arr -> scale:arr -> arr -> arr

val lomax_sf : shape:arr -> scale:arr -> arr -> arr

val lomax_logsf : shape:arr -> scale:arr -> arr -> arr

val lomax_isf : shape:arr -> scale:arr -> arr -> arr

val weibull_rvs : shape:arr -> scale:arr -> n:int -> arr

val weibull_pdf : shape:arr -> scale:arr -> arr -> arr

val weibull_logpdf : shape:arr -> scale:arr -> arr -> arr

val weibull_cdf : shape:arr -> scale:arr -> arr -> arr

val weibull_logcdf : shape:arr -> scale:arr -> arr -> arr

val weibull_ppf : shape:arr -> scale:arr -> arr -> arr

val weibull_sf : shape:arr -> scale:arr -> arr -> arr

val weibull_logsf : shape:arr -> scale:arr -> arr -> arr

val weibull_isf : shape:arr -> scale:arr -> arr -> arr

val laplace_rvs : loc:arr -> scale:arr -> n:int -> arr

val laplace_pdf : loc:arr -> scale:arr -> arr -> arr

val laplace_logpdf : loc:arr -> scale:arr -> arr -> arr

val laplace_cdf : loc:arr -> scale:arr -> arr -> arr

val laplace_logcdf : loc:arr -> scale:arr -> arr -> arr

val laplace_ppf : loc:arr -> scale:arr -> arr -> arr

val laplace_sf : loc:arr -> scale:arr -> arr -> arr

val laplace_logsf : loc:arr -> scale:arr -> arr -> arr

val laplace_isf : loc:arr -> scale:arr -> arr -> arr

val gumbel1_rvs : a:arr -> b:arr -> n:int -> arr

val gumbel1_pdf : a:arr -> b:arr -> arr -> arr

val gumbel1_logpdf : a:arr -> b:arr -> arr -> arr

val gumbel1_cdf : a:arr -> b:arr -> arr -> arr

val gumbel1_logcdf : a:arr -> b:arr -> arr -> arr

val gumbel1_ppf : a:arr -> b:arr -> arr -> arr

val gumbel1_sf : a:arr -> b:arr -> arr -> arr

val gumbel1_logsf : a:arr -> b:arr -> arr -> arr

val gumbel1_isf : a:arr -> b:arr -> arr -> arr

val gumbel2_rvs : a:arr -> b:arr -> n:int -> arr

val gumbel2_pdf : a:arr -> b:arr -> arr -> arr

val gumbel2_logpdf : a:arr -> b:arr -> arr -> arr

val gumbel2_cdf : a:arr -> b:arr -> arr -> arr

val gumbel2_logcdf : a:arr -> b:arr -> arr -> arr

val gumbel2_ppf : a:arr -> b:arr -> arr -> arr

val gumbel2_sf : a:arr -> b:arr -> arr -> arr

val gumbel2_logsf : a:arr -> b:arr -> arr -> arr

val gumbel2_isf : a:arr -> b:arr -> arr -> arr

val logistic_rvs : loc:arr -> scale:arr -> n:int -> arr

val logistic_pdf : loc:arr -> scale:arr -> arr -> arr

val logistic_logpdf : loc:arr -> scale:arr -> arr -> arr

val logistic_cdf : loc:arr -> scale:arr -> arr -> arr

val logistic_logcdf : loc:arr -> scale:arr -> arr -> arr

val logistic_ppf : loc:arr -> scale:arr -> arr -> arr

val logistic_sf : loc:arr -> scale:arr -> arr -> arr

val logistic_logsf : loc:arr -> scale:arr -> arr -> arr

val logistic_isf : loc:arr -> scale:arr -> arr -> arr

val lognormal_rvs : mu:arr -> sigma:arr -> n:int -> arr

val lognormal_pdf : mu:arr -> sigma:arr -> arr -> arr

val lognormal_logpdf : mu:arr -> sigma:arr -> arr -> arr

val lognormal_cdf : mu:arr -> sigma:arr -> arr -> arr

val lognormal_logcdf : mu:arr -> sigma:arr -> arr -> arr

val lognormal_ppf : mu:arr -> sigma:arr -> arr -> arr

val lognormal_sf : mu:arr -> sigma:arr -> arr -> arr

val lognormal_logsf : mu:arr -> sigma:arr -> arr -> arr

val lognormal_isf : mu:arr -> sigma:arr -> arr -> arr

val rayleigh_rvs : sigma:arr -> n:int -> arr

val rayleigh_pdf : sigma:arr -> arr -> arr

val rayleigh_logpdf : sigma:arr -> arr -> arr

val rayleigh_cdf : sigma:arr -> arr -> arr

val rayleigh_logcdf : sigma:arr -> arr -> arr

val rayleigh_ppf : sigma:arr -> arr -> arr

val rayleigh_sf : sigma:arr -> arr -> arr

val rayleigh_logsf : sigma:arr -> arr -> arr

val rayleigh_isf : sigma:arr -> arr -> arr