Ë
    âQ(h·3  ã                   ó*  — d dl Z d dlZd dlmZ d dlmZ d dlmZmZm	Z	m
Z
mZ ddgZ G d„ de«      Zd„ Z G d	„ d
e«      Z G d„ de«      Z G d„ de«      Z G d„ de«      Ze j&                  e   j*                  ZeD ]  Z eee   «      ee   _        Œ y)é    N)Úinf)Úspecial)ÚContinuousDistributionÚ_RealDomainÚ_RealParameterÚ_ParameterizationÚ_combine_docsÚNormalÚUniformc                   óÚ  ‡ — e Zd ZdZ ee ef¬«      Z edef¬«      Z ee ef¬«      Z e	dded¬«      Z
 e	dd	ed
¬«      Z e	ded¬«      Z ee
e«      gZeZd ej"                  dej$                  z  «      z  Z ej(                  dej$                  z  «      dz  Zd%ˆ fd„	Zdddœˆ fd„
Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z d„ Z!d„ Z"d„ Z#d „ Z$d!„ Z%d"„ Z&ddge&_'        d#„ Z(d$„ Z)ˆ xZ*S )&r
   a  Normal distribution with prescribed mean and standard deviation.

    The probability density function of the normal distribution is:

    .. math::

        f(x) = \frac{1}{\sigma \sqrt{2 \pi}} \exp {
            \left( -\frac{1}{2}\left( \frac{x - \mu}{\sigma} \right)^2 \right)}

    ©Ú	endpointsr   Úmuz\mu)éÿÿÿÿé   ©ÚsymbolÚdomainÚtypicalÚsigmaz\sigma)ç      à?g      ø?Úx©r   r   r   é   c                 óP   •— |€|€t         ‰| �  t        «      S t         ‰| �  | «      S ©N)ÚsuperÚ__new__ÚStandardNormal)Úclsr   r   ÚkwargsÚ	__class__s       €ú\/var/www/skyplay_api_hub/venv/lib/python3.12/site-packages/scipy/stats/_new_distributions.pyr   zNormal.__new__,   s*   ø€ Øˆ:˜%˜-Ü‘7‘?¤>Ó2Ð2Ü‰w‰˜sÓ#Ð#ó    ç        ç      ð?©r   r   c                ó*   •— t        ‰| �  d||dœ|¤Ž y )Nr'   © ©r   Ú__init__)Úselfr   r   r!   r"   s       €r#   r+   zNormal.__init__1   s   ø€ Ü‰ÑÐ6˜B eÑ6¨vÓ6r$   c                óf   — t         j                  | ||z
  |z  «      t        j                  |«      z
  S r   )r   Ú_logpdf_formulaÚnpÚlog©r,   r   r   r   r!   s        r#   r.   zNormal._logpdf_formula4   s*   € Ü×-Ñ-¨d°Q¸±V¸U±NÓCÄbÇfÁfÈUÃmÑSÐSr$   c                ó@   — t         j                  | ||z
  |z  «      |z  S r   )r   Ú_pdf_formular1   s        r#   r3   zNormal._pdf_formula7   s"   € Ü×*Ñ*¨4°!°b±&¸%±Ó@À5ÑHÐHr$   c                ó:   — t         j                  | ||z
  |z  «      S r   )r   Ú_logcdf_formular1   s        r#   r5   zNormal._logcdf_formula:   s   € Ü×-Ñ-¨d°Q¸±V¸U±NÓCÐCr$   c                ó:   — t         j                  | ||z
  |z  «      S r   )r   Ú_cdf_formular1   s        r#   r7   zNormal._cdf_formula=   s   € Ü×*Ñ*¨4°!°b±&¸%±Ó@Ð@r$   c                ó:   — t         j                  | ||z
  |z  «      S r   )r   Ú_logccdf_formular1   s        r#   r9   zNormal._logccdf_formula@   s   € Ü×.Ñ.¨t°a¸"±f¸e±^ÓDÐDr$   c                ó:   — t         j                  | ||z
  |z  «      S r   )r   Ú_ccdf_formular1   s        r#   r;   zNormal._ccdf_formulaC   s   € Ü×+Ñ+¨D°1°r±6¸5±.ÓAÐAr$   c                ó:   — t         j                  | |«      |z  |z   S r   )r   Ú_icdf_formular1   s        r#   r=   zNormal._icdf_formulaF   s   € Ü×+Ñ+¨D°!Ó4°uÑ<¸rÑAÐAr$   c                ó:   — t         j                  | |«      |z  |z   S r   )r   Ú_ilogcdf_formular1   s        r#   r?   zNormal._ilogcdf_formulaI   s   € Ü×.Ñ.¨t°QÓ7¸%Ñ?À"ÑDÐDr$   c                ó:   — t         j                  | |«      |z  |z   S r   )r   Ú_iccdf_formular1   s        r#   rA   zNormal._iccdf_formulaL   s   € Ü×,Ñ,¨T°1Ó5¸Ñ=ÀÑBÐBr$   c                ó:   — t         j                  | |«      |z  |z   S r   )r   Ú_ilogccdf_formular1   s        r#   rC   zNormal._ilogccdf_formulaO   s   € Ü×/Ñ/°°aÓ8¸5Ñ@À2ÑEÐEr$   c                ój   — t         j                  | «      t        j                  t	        |«      «      z   S r   )r   Ú_entropy_formular/   r0   Úabs©r,   r   r   r!   s       r#   rE   zNormal._entropy_formulaR   s%   € Ü×.Ñ.¨tÓ4´r·v±v¼cÀ%»jÓ7IÑIÐIr$   c                ó@  — t         j                  | «      }t        j                  d¬«      5  t        j                  t        j                  t        |«      «      dz   «      }d d d «       t        j                  t        j                  |«      d¬«      S # 1 sw Y   Œ4xY w)NÚignore©Údividey                r   ©Úaxis)	r   Ú_logentropy_formular/   Úerrstater0   rF   r   Ú	logsumexpÚbroadcast_arrays)r,   r   r   r!   ÚlH0Úllss         r#   rN   zNormal._logentropy_formulaU   sw   € Ü×0Ñ0°Ó6ˆÜ�[‰[ Ô)ñ 	0ô —&‘&œŸ™¤ E£
Ó+¨BÑ.Ó/ˆC÷	0ô × Ñ ¤×!4Ñ!4°S¸#Ó!>ÀQÔGÐG÷		0ð 	0ús   ¬5BÂBc                ó   — |S r   r)   rG   s       r#   Ú_median_formulazNormal._median_formula]   ó   € Øˆ	r$   c                ó   — |S r   r)   rG   s       r#   Ú_mode_formulazNormal._mode_formula`   rV   r$   c                óF   — |dk(  rt        j                  |«      S |dk(  r|S y )Nr   r   )r/   Ú	ones_like©r,   Úorderr   r   r!   s        r#   Ú_moment_raw_formulazNormal._moment_raw_formulac   s'   € Ø�AŠ:Ü—<‘< Ó#Ð#Ø�aŠZØˆIàr$   c                ó¼   — |dk(  rt        j                  |«      S |dz  rt        j                  |«      S ||z  t        j                  t        |«      dz
  d¬«      z  S )Nr   r   r   T)Úexact)r/   rZ   Ú
zeros_liker   Ú
factorial2Úintr[   s        r#   Ú_moment_central_formulazNormal._moment_central_formulal   sT   € Ø�AŠ:Ü—<‘< Ó#Ð#Ø�QŠYÜ—=‘= Ó$Ð$ð ˜%‘<¤'×"4Ñ"4´S¸³ZÀ!±^È4Ô"PÑPÐPr$   c                ó0   — |j                  |||¬«      d   S )N)ÚlocÚscaleÚsizer)   ©Únormal)r,   Úsample_shapeÚ
full_shapeÚrngr   r   r!   s          r#   Ú_sample_formulazNormal._sample_formulau   s   € Ø�z‰z˜b¨°JˆzÓ?ÀÑCÐCr$   )NN)+Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   r   Ú
_mu_domainÚ_sigma_domainÚ
_x_supportr   Ú	_mu_paramÚ_sigma_paramÚ_x_paramr   Ú_parameterizationsÚ	_variabler/   ÚsqrtÚpiÚ_normalizationr0   Ú_log_normalizationr   r+   r.   r3   r5   r7   r9   r;   r=   r?   rA   rC   rE   rN   rU   rX   r]   Úordersrc   rm   Ú__classcell__©r"   s   @r#   r
   r
      s>  ø„ ñ	ñ ¨¨¨c {Ô3€JÙ¨1¨c¨(Ô3€MÙ¨¨¨c {Ô3€Já˜t¨V¸JØ'.ô0€Iá! '°)ÀMØ*4ô6€Lá˜c¨*¸gÔF€Há+¨I°|ÓDÐEÐà€IØ�w�r—w‘w˜q §¡™wÓ'Ñ'€NØ˜Ÿ™  "§%¡%¡›¨Ñ*Ðõ$ð
   rö 7òTòIòDòAòEòBòBòEòCòFòJòHòòòð #$ Q ÐÔòQöDr$   c                 ó\   — t        j                  | |t        j                  dz  z   gd¬«      S )Ny              ð?r   rL   )r   rP   r/   r{   )Úlog_pÚlog_qs     r#   Ú	_log_diffr„   y   s&   € Ü×Ñ˜e U¬2¯5©5°©8¡^Ð4¸1Ô=Ð=r$   c                   óˆ  — e Zd ZdZ ee ef¬«      Z eded¬«      ZeZ	g Z
d ej                  dej                  z  «      z  Z ej                  dej                  z  «      dz  Z ej"                  d«      Z ej"                  d	«      Zd
„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z d„ Z!d„ Z"d„ Z#d„ Z$d„ Z%d„ Z&y)r   zÌStandard normal distribution.

    The probability density function of the standard normal distribution is:

    .. math::

        f(x) = \frac{1}{\sqrt{2 \pi}} \exp \left( -\frac{1}{2} x^2 \right)

    r   r   )éûÿÿÿé   r   r   r   r%   r&   c                 ó0   — t        j                  | fi |¤Ž y r   )r   r+   ©r,   r!   s     r#   r+   zStandardNormal.__init__�   s   € Ü×'Ñ'¨Ñ7°Ó7r$   c                 ó.   — | j                   |dz  dz  z    S ©Nr   )r}   ©r,   r   r!   s      r#   r.   zStandardNormal._logpdf_formula“   s   € Ø×(Ñ(¨1¨a©4°©6Ñ1Ð2Ð2r$   c                 óT   — | j                   t        j                  |dz   dz  «      z  S r‹   )r|   r/   ÚexprŒ   s      r#   r3   zStandardNormal._pdf_formula–   s%   € Ø×"Ñ"¤R§V¡V¨Q°©T¨E°!©G£_Ñ4Ð4r$   c                 ó,   — t        j                  |«      S r   ©r   Úlog_ndtrrŒ   s      r#   r5   zStandardNormal._logcdf_formula™   s   € Ü×Ñ Ó"Ð"r$   c                 ó,   — t        j                  |«      S r   ©r   ÚndtrrŒ   s      r#   r7   zStandardNormal._cdf_formulaœ   s   € Ü�|‰|˜A‹Ðr$   c                 ó.   — t        j                  | «      S r   r�   rŒ   s      r#   r9   zStandardNormal._logccdf_formulaŸ   s   € Ü×Ñ  Ó#Ð#r$   c                 ó.   — t        j                  | «      S r   r“   rŒ   s      r#   r;   zStandardNormal._ccdf_formula¢   s   € Ü�|‰|˜Q˜BÓÐr$   c                 ó,   — t        j                  |«      S r   ©r   ÚndtrirŒ   s      r#   r=   zStandardNormal._icdf_formula¥   s   € Ü�}‰}˜QÓÐr$   c                 ó,   — t        j                  |«      S r   ©r   Ú	ndtri_exprŒ   s      r#   r?   zStandardNormal._ilogcdf_formula¨   s   € Ü× Ñ  Ó#Ð#r$   c                 ó.   — t        j                  |«       S r   r˜   rŒ   s      r#   rA   zStandardNormal._iccdf_formula«   s   € Ü—‘˜aÓ Ð Ð r$   c                 ó.   — t        j                  |«       S r   r›   rŒ   s      r#   rC   z StandardNormal._ilogccdf_formula®   s   € Ü×!Ñ! !Ó$Ð$Ð$r$   c                 óZ   — dt        j                  dt         j                  z  «      z   dz  S )Nr   r   )r/   r0   r{   r‰   s     r#   rE   zStandardNormal._entropy_formula±   s"   € Ø”B—F‘F˜1œRŸU™U™7“OÑ# QÑ&Ð&r$   c                 ó    — t        j                  t        j                  dt         j                  z  «      «      t        j                  d«      z
  S r‹   )r/   Úlog1pr0   r{   r‰   s     r#   rN   z"StandardNormal._logentropy_formula´   s.   € Ü�x‰xœŸ™˜q¤§¡™w›Ó(¬2¯6©6°!«9Ñ4Ð4r$   c                  ó   — y©Nr   r)   r‰   s     r#   rU   zStandardNormal._median_formula·   ó   € Ør$   c                  ó   — yr£   r)   r‰   s     r#   rX   zStandardNormal._mode_formulaº   r¤   r$   c                 ó8   — dddddddœ}|j                  |d «      S )Nr   r   é   )r   r   r   r§   é   r‡   )Úget)r,   r\   r!   Úraw_momentss       r#   r]   z"StandardNormal._moment_raw_formula½   s%   € Ø  a¨A°!¸Ñ:ˆØ�‰˜u dÓ+Ð+r$   c                 ó(   —  | j                   |fi |¤ŽS r   ©r]   ©r,   r\   r!   s      r#   rc   z&StandardNormal._moment_central_formulaÁ   ó   € Ø'ˆt×'Ñ'¨Ñ8°Ñ8Ð8r$   c                 ó(   —  | j                   |fi |¤ŽS r   r¬   r­   s      r#   Ú_moment_standardized_formulaz+StandardNormal._moment_standardized_formulaÄ   r®   r$   c                 ó,   — |j                  |¬«      d   S )N©rg   r)   rh   )r,   rj   rk   rl   r!   s        r#   rm   zStandardNormal._sample_formulaÇ   s   € Ø�z‰z˜zˆzÓ*¨2Ñ.Ð.r$   N)'rn   ro   rp   rq   r   r   rt   r   rw   ry   rx   r/   rz   r{   r|   r0   r}   Úfloat64r   r   r+   r.   r3   r5   r7   r9   r;   r=   r?   rA   rC   rE   rN   rU   rX   r]   rc   r°   rm   r)   r$   r#   r   r   }   sé   „ ññ ¨¨¨c {Ô3€JÙ˜c¨*¸gÔF€HØ€IØÐØ�w�r—w‘w˜q §¡™wÓ'Ñ'€NØ˜Ÿ™  "§%¡%¡›¨Ñ*ÐØ	ˆ�‰�B‹€BØˆB�J‰J�r‹N€Eò8ò3ò5ò#òò$ò ò ò$ò!ò%ò'ò5òòò,ò9ò9ó/r$   r   c                   ó²  ‡ — e Zd ZdZ edef¬«      Z edef¬«      Z ee ef¬«      Z edef¬«      Z	 edd¬«      Z
 eded	¬
«      Z eded¬
«      Z edded¬«      Z edde	d¬«      Z ede
d¬
«      Zej#                  e«       e	j#                  e«       e
j#                  ee«        eee«       eee«      gZeZdddddœˆ fd„
Zdd„Zd„ Zd„ Zˆ xZS )Ú_LogUniformaª  Log-uniform distribution.

    The probability density function of the log-uniform distribution is:

    .. math::

        f(x; a, b) = \frac{1}
                          {x (\log(b) - \log(a))}

    If :math:`\log(X)` is a random variable that follows a uniform distribution
    between :math:`\log(a)` and :math:`\log(b)`, then :math:`X` is log-uniformly
    distributed with shape parameters :math:`a` and :math:`b`.

    r   r   ÚaÚlog_a©r¶   Úb©TT©r   Ú	inclusive©gü©ñÒMbP?gÍÌÌÌÌÌì?r   r¹   ©gš™™™™™ñ?g     @�@z\log(a))éýÿÿÿgš™™™™™¹¿r   Úlog_bz\log(b))çš™™™™™¹?r§   r   N©r¶   r¹   r·   rÀ   c                ó.   •— t        ‰| �  d||||dœ|¤Ž y )NrÂ   r)   r*   )r,   r¶   r¹   r·   rÀ   r!   r"   s         €r#   r+   z_LogUniform.__init__ò   s   ø€ Ü‰ÑÐF˜1 ¨°eÑF¸vÓFr$   c                 ó
  — |€t        j                  |«      n|}|€t        j                  |«      n|}|€t        j                  |«      n|}|€t        j                  |«      n|}|j                  t	        ||||¬«      «       |S )NrÂ   )r/   rŽ   r0   ÚupdateÚdict)r,   r¶   r¹   r·   rÀ   r!   s         r#   Ú_process_parametersz_LogUniform._process_parametersõ   sj   € Ø˜YŒB�F‰F�5ŒM¨AˆØ˜YŒB�F‰F�5ŒM¨AˆØ"˜]”—‘�q”	°ˆØ"˜]”—‘�q”	°ˆØ�‰”d˜Q !¨5¸Ô>Ô?Øˆr$   c                ó   — ||z
  |z  dz  S )Nr   r)   )r,   r   r·   rÀ   r!   s        r#   r3   z_LogUniform._pdf_formula   s   € Ø˜‘ Ñ! BÑ&Ð&r$   c           	      óÈ   — |dk(  r| j                   S | j                   ||z
  z  |z  }t        j                  t        j                  t	        ||z  ||z  «      «      «      }||z  S r£   )Ú_oner/   ÚrealrŽ   r„   )r,   r\   r·   rÀ   r!   Út1Út2s          r#   r]   z_LogUniform._moment_raw_formula  sY   € Ø�AŠ:Ø—9‘9ÐØ�Y‰Y˜% %™-Ñ(¨5Ñ0ˆÜ�W‰W”R—V‘VœI e¨e¡m°U¸U±]ÓCÓDÓEˆØ�B‰wˆr$   )NNNN)rn   ro   rp   rq   r   r   Ú	_a_domainÚ	_b_domainÚ_log_a_domainÚ_log_b_domainrt   r   Ú_a_paramÚ_b_paramÚ_log_a_paramÚ_log_b_paramrw   Údefine_parametersr   rx   ry   r+   rÇ   r3   r]   r   r€   s   @r#   rµ   rµ   Ì   s  ø„ ññ  q¨# hÔ/€IÙ s¨C jÔ1€IÙ¨C¨4°¨+Ô6€MÙ¨7°C¨.Ô9€MÙ z¸\ÔJ€Já˜c¨)¸[ÔI€HÙ˜c¨)¸ZÔH€HÙ! '°*Ø)6À
ôL€Lá! '°*Ø)6ÀôJ€Lá˜c¨*¸jÔI€Hà×Ñ Ô)Ø×#Ñ# LÔ1Ø× Ñ  ¨8Ô4á+¨L¸,ÓGÙ+¨H°hÓ?ðAÐà€Ià  D°¸Dö Góò'ör$   rµ   c                   óx  ‡ — e Zd ZdZ ee ef¬«      Z edef¬«      Z edd¬«      Z e	ded¬«      Z
 e	d	ed
¬«      Z e	ded¬«      Zej                  e
«       ej                  e
e«        ee
e«      gZeZdddœˆ fd„
Zdd„Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zdge_         d„ Z!ˆ xZ"S )r   z±Uniform distribution.

    The probability density function of the uniform distribution is:

    .. math::

        f(x; a, b) = \frac{1}
                          {b - a}

    r   r¶   r¸   rº   r»   r½   r   r¹   r¾   r   Nc                ó*   •— t        ‰| �  d||dœ|¤Ž y )Nr¸   r)   r*   )r,   r¶   r¹   r!   r"   s       €r#   r+   zUniform.__init__(  s   ø€ Ü‰ÑÐ,˜1 Ñ, VÓ,r$   c                 óJ   — ||z
  }|j                  t        |||¬«      «       |S )N)r¶   r¹   Úab)rÅ   rÆ   ©r,   r¶   r¹   rÚ   r!   s        r#   rÇ   zUniform._process_parameters+  s%   € Ø�‰UˆØ�‰”d˜Q !¨Ô+Ô,Øˆr$   c                óš   — t        j                  t        j                  |«      t         j                  t        j                  |«       «      S r   )r/   ÚwhereÚisnanÚnanr0   ©r,   r   rÚ   r!   s       r#   r.   zUniform._logpdf_formula0  s+   € Ü�x‰xœŸ™ ›¤R§V¡V¬b¯f©f°R«j¨[Ó9Ð9r$   c                óx   — t        j                  t        j                  |«      t         j                  d|z  «      S ©Nr   )r/   rÝ   rÞ   rß   rà   s       r#   r3   zUniform._pdf_formula3  s%   € Ü�x‰xœŸ™ ›¤R§V¡V¨Q¨r©TÓ2Ð2r$   c                ó¶   — t        j                  d¬«      5  t        j                  ||z
  «      t        j                  |«      z
  cd d d «       S # 1 sw Y   y xY w©NrI   rJ   ©r/   rO   r0   ©r,   r   r¶   rÚ   r!   s        r#   r5   zUniform._logcdf_formula6  ó?   € Ü�[‰[ Ô)ñ 	.Ü—6‘6˜!˜a™%“=¤2§6¡6¨"£:Ñ-÷	.÷ 	.ò 	.úó   —.AÁAc                ó   — ||z
  |z  S r   r)   ræ   s        r#   r7   zUniform._cdf_formula:  ó   € Ø�A‘˜‰|Ðr$   c                ó¶   — t        j                  d¬«      5  t        j                  ||z
  «      t        j                  |«      z
  cd d d «       S # 1 sw Y   y xY wrä   rå   ©r,   r   r¹   rÚ   r!   s        r#   r9   zUniform._logccdf_formula=  rç   rè   c                ó   — ||z
  |z  S r   r)   rì   s        r#   r;   zUniform._ccdf_formulaA  rê   r$   c                ó   — |||z  z   S r   r)   )r,   Úpr¶   rÚ   r!   s        r#   r=   zUniform._icdf_formulaD  ó   € Ø�2�a‘4‰xˆr$   c                ó   — |||z  z
  S r   r)   )r,   rï   r¹   rÚ   r!   s        r#   rA   zUniform._iccdf_formulaG  rð   r$   c                ó,   — t        j                  |«      S r   )r/   r0   )r,   rÚ   r!   s      r#   rE   zUniform._entropy_formulaJ  s   € Ü�v‰v�b‹zÐr$   c                ó   — |d|z  z   S ©Nr   r)   rÛ   s        r#   rX   zUniform._mode_formulaM  ó   € Ø�3�r‘6‰zÐr$   c                ó   — |d|z  z   S rô   r)   rÛ   s        r#   rU   zUniform._median_formulaP  rõ   r$   c                 ó.   — |dz   }||z  ||z  z
  ||z  z  S râ   r)   )r,   r\   r¶   r¹   rÚ   r!   Únp1s          r#   r]   zUniform._moment_raw_formulaS  s&   € Ø�a‰iˆØ�3‘˜˜C™‘ C¨"¡HÑ-Ð-r$   c                 ó    — |dk(  r|dz  dz  S d S )Nr   é   r)   )r,   r\   rÚ   r!   s       r#   rc   zUniform._moment_central_formulaW  s   € Ø  Aš:ˆr�1‰u�R‰xÐ/¨4Ð/r$   r   c                 ó„   — 	 |j                  |||¬«      d   S # t        $ r |j                  dd|¬«      |z  |z   cY S w xY w)Nr²   r)   r   r   )ÚuniformÚOverflowError)r,   rj   rk   rl   r¶   r¹   rÚ   r!   s           r#   rm   zUniform._sample_formula\  sO   € ð	=Ø—;‘;˜q !¨*�;Ó5°bÑ9Ð9øÜò 	=Ø—;‘;˜q !¨*�;Ó5°bÑ8¸1Ñ<Ò<ð	=ús   ‚ ™#?¾?)NNN)#rn   ro   rp   rq   r   r   rÎ   rÏ   rt   r   rÒ   rÓ   rw   rÖ   r   rx   ry   r+   rÇ   r.   r3   r5   r7   r9   r;   r=   rA   rE   rX   rU   r]   rc   r~   rm   r   r€   s   @r#   r   r     só   ø„ ñ	ñ ¨ t¨S kÔ2€IÙ s¨C jÔ1€IÙ z¸\ÔJ€Já˜c¨)¸[ÔI€HÙ˜c¨)¸ZÔH€HÙ˜c¨*¸jÔI€Hà×Ñ Ô)Ø× Ñ  ¨8Ô4á+¨H°hÓ?Ð@ÐØ€Ià  Dö -óò
:ò3ò.òò.òòòòòòò.ò0ð '( SÐÔ"ö=r$   c                   ó‚   — e Zd Z edef¬«      Z edefd¬«      Z eded¬«      Z eded¬«      Z	 e
e«      gZe	Zd	„ Zy
)Ú_Gammar   r   )FFr»   r¶   )rÁ   é
   r   r   c                ól   — ||dz
  z  t        j                  | «      z  t        j                  |«      z  S râ   )r/   rŽ   r   Úgamma)r,   r   r¶   r!   s       r#   r3   z_Gamma._pdf_formulan  s-   € Ø�Q˜‘U‰|œbŸf™f a R›jÑ(¬7¯=©=¸Ó+;Ñ;Ð;r$   N)rn   ro   rp   r   r   rÎ   rt   r   rÒ   rw   r   rx   ry   r3   r)   r$   r#   rÿ   rÿ   c  sT   „ á q¨# hÔ/€IÙ¨¨3 x¸>ÔJ€Já˜c¨)¸YÔG€HÙ˜c¨*¸iÔH€Há+¨HÓ5Ð6ÐØ€Ió<r$   rÿ   )ÚsysÚnumpyr/   r   Úscipyr   Ú(scipy.stats._distribution_infrastructurer   r   r   r   r	   Ú__all__r
   r„   r   rµ   r   rÿ   Úmodulesrn   Ú__dict__Ú_moduleÚ	dist_namerq   r)   r$   r#   ú<module>r     s¶   ðÛ 
ã Ý å ÷õ ð �YÐ
€ôhDÐ#ô hDòV>ôK/�Vô K/ô^?Ð(ô ?ôDR=Ð$ô R=ôj<Ð#ô <ð$ �+‰+�hÑ
×
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(€Øò C€IÙ!.¨w°yÑ/AÓ!B€GˆIÑÕñCr$   