Log-linear modeling under generalized inverse sampling schemeThis paper discusses the log-linear model for multi-way contingency ta-ble, where the cell values represent the frequency counts that follow an ex-tended negative multinomial distribution....
Total positivity properties of the bivariate diagonal natural exponential families...kernels.Charlier polynomials gamma distribution Hermite polynomials Laguerre polynomials Mehler's formula Meixner polynomials multinomial distribution natural exponential family negative multinomial distribution normal distribution orthogonal polynomials Poisson distribution
Asymptotic normality through factorial cumulants and partition identities... The general limiting result is then used to (re-)derive asymptotic normality for several models including classical discrete distributions, occupancy problems in some generalized allocation schemes and two models related to negative multinomial distribution....
Symbolic cholesky decomposition of the variance--covariance matrix of the negative multinomial distributionThis note shows a symbolic formula for the square-root-free Cholesky decomposition of the variance--covariance matrix of the negative multinomial distribution....
