o `^h×ã@sœddlZddlmZddlmZgd¢Zgd¢Zeeddd…ƒZeeddd…ƒZdd„Z gd ¢Z gd ¢Z ee ddd…ƒZ ee ddd…ƒZ d d „ZdS) éN)Úpoly1d)Úbeta)gÓSb¦Q @gŸo€|-aç?g_3 L¶/á¿g†|úA"Æ?gCÜUÑG˜¿)çð?g<ŽŸ*x @gÿÍy’¼@g`B{dêAü?g-¡~éëÐ?éÿÿÿÿc Csät |¡}|j}t |¡ tj¡}d}|dk}|dk}t |¡|k}||B|B}||}||}t |¡} tj| |<tj | |<|j dkrOt |ƒt |ƒ| |<|j dkrmd|dddd|t |d|dƒ| |<|| _| S)aóVariance of the Tukey Lambda distribution. Parameters ---------- lam : array_like The lambda values at which to compute the variance. Returns ------- v : ndarray The variance. For lam < -0.5, the variance is not defined, so np.nan is returned. For lam = 0.5, np.inf is returned. Notes ----- In an interval around lambda=0, this function uses the [4,4] Pade approximation to compute the variance. Otherwise it uses the standard formula (https://en.wikipedia.org/wiki/Tukey_lambda_distribution). The Pade approximation is used because the standard formula has a removable discontinuity at lambda = 0, and does not produce accurate numerical results near lambda = 0. g333333³?gà¿rg@éré)ÚnpÚasarrayÚshapeÚ atleast_1dÚastypeÚfloat64ÚabsÚ empty_likeÚnanÚinfÚsizeÚ_tukeylambda_var_pÚ_tukeylambda_var_qr) ÚlamÚshpÚ thresholdÚlow_maskÚ neghalf_maskÚ small_maskÚreg_maskÚsmallÚregÚv©rú\/home/air/shanriGPT/back/venv/lib/python3.10/site-packages/scipy/stats/_tukeylambda_stats.pyÚtukeylambda_variance+s*       ÿr!)g333333ó?g6|ýÃòiÀgeÛSH§6ÀgÑ환^Ê?gË)kPd@)rg?…Ý»A¯@gID@êî)@g¢€¤Pr‘Û?g`2Ž¿fQÀc Cs4t |¡}|j}t |¡ tj¡}d}|dk}|dk}t |¡|k}||B|B}||}||}t |¡} tj| |<tj | |<|j dkrOt |ƒt |ƒ| |<|j dkr•dd|ddt d|d|dƒdt d|dd|dƒ} ddd|dt |d|dƒd} | | d| |<|| _| S) aRKurtosis of the Tukey Lambda distribution. Parameters ---------- lam : array_like The lambda values at which to compute the variance. Returns ------- v : ndarray The variance. For lam < -0.25, the variance is not defined, so np.nan is returned. For lam = 0.25, np.inf is returned. g)\Âõ(¬?gпrrérér)rr r r r r rrrrrÚ_tukeylambda_kurt_pÚ_tukeylambda_kurt_qr) rrrrÚ negqrtr_maskrrrrÚkÚnumerÚdenomrrr Útukeylambda_kurtosis“s.      (ÿ*r*)ÚnumpyrrÚ scipy.specialrÚ_tukeylambda_var_pcÚ_tukeylambda_var_qcrrr!Ú_tukeylambda_kurt_pcÚ_tukeylambda_kurt_qcr$r%r*rrrr Ús  ]