a ам^єz4CompoundPSpace._transform_pspace..N)rr.rrrrrrrrrr)r$┌sym┌distr-Z_setZdensrr<r r3Rs z CompoundPSpace._transform_pspaceT)┌compound_evaluatecKs.|а|б}|а|j|jiб}|j|fi|дОSr!)r/┌subsr%┌compute_densityйr$┌exprrA┌kwargsr8rrr rCas zCompoundPSpace.compute_densitycKs.|а|б}|а|j|jiб}|j|fi|дОSr!)r/rBr%┌compute_cdfrDrrr rGfs zCompoundPSpace.compute_cdfNcKsf|а|б}|а|j|jiб}|r2|а|j|jiб}t|tГrP|j||fi|дОS|j|||fi|дОSr!)r/rBr%rr┌compute_expectation)r$rEZrvsr6rFr8rrr rHks z"CompoundPSpace.compute_expectationcKs&|а|б}|а|j|jiб}|а|бSr!)r/rBr%┌probabilityйr$┌ conditionrArFr8rrr rIts zCompoundPSpace.probabilitycKs&|а|б}|а|j|jiб}|а|бSr!)r/rBr%┌conditional_spacerJrrr rLys z CompoundPSpace.conditional_space)F)NF)┌__name__┌ __module__┌__qualname__┌__doc__r┌propertyr%r"r)r*r+rr-r.r0r/r3rCrGrHrIrLrrrr rs6 rc@sfeZdZdZddДZeddДГZeddДГZedd ДГZed dДГZ dd dДZ ddДZeddДГZ dS)ra╚ Class for Compound Distributions. Parameters ========== dist : Distribution Distribution must contain a random parameter Examples ======== >>> from sympy.stats.compound_rv import CompoundDistribution >>> from sympy.stats.crv_types import NormalDistribution >>> from sympy.stats import Normal >>> from sympy.abc import x >>> X = Normal('X', 2, 4) >>> N = NormalDistribution(X, 4) >>> C = CompoundDistribution(N) >>> C.set Interval(-oo, oo) >>> C.pdf(x, evaluate=True).simplify() exp(-x**2/64 + x/16 - 1/16)/(8*sqrt(pi)) References ========== .. [1] https://en.wikipedia.org/wiki/Compound_probability_distribution cCs>t|tttfГs$dt|Г}t|ГВ|а|бs2|Stа||бS)Nr2) rrrrr4r5┌_compound_checkrr)rr@r9rrr rЯs zCompoundDistribution.__new__cCs|jdjSr&)r(r.r#rrr r.иszCompoundDistribution.setcCst|jdtГSr&)rr(rr#rrr r)мsz"CompoundDistribution.is_ContinuouscCst|jdtГSr&)rr(rr#rrr r*░szCompoundDistribution.is_FinitecCst|jdtГSr&)rr(rr#rrr r+┤sz CompoundDistribution.is_DiscreteFcCsv|jd}ddД|jDГ}t|tГr>tddddН}|а|б}ntdГ}|а|б}|D]}|а|||б}qTt||Г|ГS)NrcSsg|]}t|Гr|СqSr)r)r:┌rvrrr ┌ ║r>z,CompoundDistribution.pdf..┌yTF)┌integer┌negative)r(rrr┌pmfr-┌_marginaliser)r$r1r6r@┌randomsrUrErSrrr r-╕s zCompoundDistribution.pdfcCsИt|jjtГr|jjа|б}n|jjа|б}|jjj}|jjsF|jj r`t ||||j|jfГ}nt ||||j|jfГ}|rД|абS|Sr!)rZpspacerrrXr-r0r.r+r*r┌_infZ_suprZdoit)r$rErSr6Zrv_densZrv_domrrr rY┼s z!CompoundDistribution._marginalisecCs2g}|jD]}|аt|Гбq t|Гdkr.dSdS)zN Checks if the given distribution contains random parameters. rFT)r(┌extendr┌len)r$r@rZ┌argrrr rR╒s z$CompoundDistribution._compound_checkN)F)rMrNrOrPrrQr.r)r*r+r-rY┌classmethodrRrrrr rs rN)#Zsympy.concrete.summationsrZsympy.core.basicrZsympy.core.functionrZsympy.core.symbolrZsympy.integrals.integralsrZsympy.stats.rvrrr r rrr Zsympy.stats.crvrrZsympy.stats.drvrrZsympy.stats.frvrrZsympy.stats.crv_typesrZsympy.stats.drv_typesrZsympy.stats.frv_typesrrrrrrr ┌s$o