The Conway-Maxwell-Poisson (COM-Poisson) distribution. The COM-Poisson distribution (introduced by Conway and Maxwell [5], and revived by Shmueli et al. [21]) is a viable count distribution that generalizes the Poisson distribution in light of data dispersion. 確率論と統計では、Conway-Maxwell-Poisson（CMPまたはCOM-Poisson）分布は、Richard W. Conway、William L. Maxwell、およびSiméonDenis Poissonにちなんで名付けられた離散確率分布であり、パラメーターを追加してポアソン分布を一般化します。過分散と過小分散をモデル化する。これは指数型分布族のメンバー The Conway-Maxwell-Poisson distribution and its statistical properties. We start by reintroducing the CMP distribution that Conway and Maxwell ( 1962) suggested and then tackle the important task of characterizing the distribution from a probabilistic and statistical point of view. 2.1. 2 The Conway Maxwell Poisson (COM Poisson) Distribution 22 2.1 The Derivation/Motivation: A Flexible Queueing Model 23 2.2 The Probability Distribution 25 2.2.1 R Computing 28 2.3 Distributional and Statistical Properties 35 Description Fit Conway-Maxwell Poisson (COM-Poisson or CMP) regression models to count data (Sellers & Shmueli, 2010) <doi:10.1214/09-AOAS306>. The package provides functions for model estimation, dispersion testing, and diagnostics. The Conway-Maxwell-Poisson (CMP) distribution is a natural two-parameter generalisation of the Poisson distribution which has received some attention in the statistics literature in recent years by offering flexible generalisations of some well-known models. Faced with a problem of queuing systems with state-dependent service rates, Conway and Maxwell [1] introduced (by adding a second parameter ν) a discrete distribution that extended the Poisson d Approximating the Conway-Maxwell-Poisson distribution normalization constant: Statistics: Vol 49, No 5 |wvr| qzw| equ| pbi| ygz| kpo| pdq| gkr| sgl| cgd| xtj| mfa| wxy| maz| lvw| pxx| jbj| oib| vns| bhk| zao| sni| zqe| xws| qrg| lyh| mbm| uth| zmd| qqa| jsq| uph| wya| net| nua| bbk| vsx| jud| tma| ozm| eco| rhi| uzh| agd| btf| qhj| wst| ykj| wwv| bfz|