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Domen
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Say we have three stochastic variables defined as follows:

rho = NormalDistribution[rhom,sigmar]; beta = NormalDistribution[betam,sigmab]; alpha = NormalDistribution[alpham,sigmaa];

rho = NormalDistribution[rhom,sigmar];
beta = NormalDistribution[betam,sigmab];
alpha = NormalDistribution[alpham,sigmaa];

I would like to compute the central moments of the following vector containing functions of such variables:

ml={{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2]) Tan[alpha]},{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2])Tan[beta]},{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2])}};

ml={{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2]) Tan[alpha]},
    {rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2]) Tan[beta]},
    {rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2])}};

How can this task be fulfilled taking advantage of the definition of such DistributionDistribution objects?

Say we have three stochastic variables defined as follows:

rho = NormalDistribution[rhom,sigmar]; beta = NormalDistribution[betam,sigmab]; alpha = NormalDistribution[alpham,sigmaa];

I would like to compute the central moments of the following vector containing functions of such variables:

ml={{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2]) Tan[alpha]},{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2])Tan[beta]},{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2])}};

How can this task be fulfilled taking advantage of the definition of such Distribution objects?

Say we have three stochastic variables defined as follows:

rho = NormalDistribution[rhom,sigmar];
beta = NormalDistribution[betam,sigmab];
alpha = NormalDistribution[alpham,sigmaa];

I would like to compute the central moments of the following vector containing functions of such variables:

ml={{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2]) Tan[alpha]},
    {rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2]) Tan[beta]},
    {rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2])}};

How can this task be fulfilled taking advantage of the definition of such Distribution objects?

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Mirko Aveta
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Compute Central Moments of Vector

Say we have three stochastic variables defined as follows:

rho = NormalDistribution[rhom,sigmar]; beta = NormalDistribution[betam,sigmab]; alpha = NormalDistribution[alpham,sigmaa];

I would like to compute the central moments of the following vector containing functions of such variables:

ml={{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2]) Tan[alpha]},{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2])Tan[beta]},{rho/(Sqrt[1+Tan[alpha]^2+Tan[beta]^2])}};

How can this task be fulfilled taking advantage of the definition of such Distribution objects?