A Generalization of the Poisson Distribution

From MaRDI portal
Publication:3216037

DOI10.2307/1267389zbMath0271.60020OpenAlexW4231865007MaRDI QIDQ3216037

Gopi C. Jain, P. C. Consul

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1267389




Related Items

Biwhitening Reveals the Rank of a Count MatrixA mixed generalized Poisson INAR model with applicationsModelling Excess Zeros in Count Data: A New Perspective on Modelling ApproachesOn Arbitrarily Underdispersed Discrete DistributionsA survival regression with cure fraction applied to cervical cancerBayesian time series modeling of necrotizing fasciitis count in Mahasarakham and Roi-Et hospitalsPROPERTIES OF AUTOSEMANTIC WORD NETWORKS IN UKRAINIAN TEXTSMenopausal Symptom Relief with Acupuncture: Bayesian Analysis Using Piecewise RegressionIntegral Representation of a Distribution Associated with a Pure Birth ProcessSome approximation properties of new families of positive linear operatorsGeneralized Poisson integer-valued autoregressive processes with structural changesA Lagrange-Gamma multihit dose-response model for risk assessmentOn an approximation process of integral typeExtended Poisson INAR(1) processes with equidispersion, underdispersion and overdispersionQuasi-binomial zero-inflated regression model suitable for variables with bounded supportOn some properties of the linear function Poisson binomial and negative binomial distributionsEDF Tests for the Generalized Poisson DistributionON LAGRANGIAN DISTRIBUTIONS OF THE SECOND KINDMonitoring a bi-attribute high-quality process using a mixture probability distributionBivariate generalized Poisson distribution with some applicationsRestricted generalized poisson regression modelTesting for homogeneity: the generalized poisson distributionPolynomials of binomial type and compound Poisson processesOn the differences of two generalized poisson variatesA family of discrete distributionsTesting overdispersion in the zero-inflated Poisson modelThe truncated generalized poisson distribution and its estimationGeneralized Poisson autoregressive models for time series of countsAnalysis of mixed correlated bivariate zero-inflated count and(k,l)-inflated beta responses with application to social network datasetsThe Touchard distributionON THE UNIMODALITY OF GENERALIZED POISSON DISTRIBUTIONZero-inflated models and estimation in zero-inflated Poisson distributionGeneralized Markov-Polya urn models with predetermined strategiesEstimation of generalized poisson distributionA model for integer-valued time series with conditional overdispersionA generalized stochastic condensation mechanism for inducing underdispersion in count modelsAnother generalization of the geometric distributionNew families of subordinators with explicit transition probability semigroupQueue length in a queuing system with dependent service timesZero-inflated sum of Conway-Maxwell-Poissons (ZISCMP) regressionSpatial modelling of claim frequency and claim size in non-life insuranceAnalysis of one-way layout of count data in the presence of over or under dispersionFurther modified forms of binomial and Poisson distributionsA Flexible Univariate Autoregressive Time‐Series Model for Dispersed Count DataQuasi-negative binomial distribution: properties and applicationsSome approximation results for Bayesian posteriors that involve the Hurwitz-Lerch zeta distributionOn Some New α-Modified Binomial and Poisson Distributions and Their ApplicationsBootstrap based goodness of fit tests for the generalized poisson modelBayesian analysis of two overdispersed poisson regression modelsInference for cluster point processes with over- or under-dispersed cluster sizesA bivariate Sarmanov regression model for count data with generalised Poisson marginalsGabriel dimension of strong supplementary semilattice sums of ringsAnalysis of survival data by a Weibull-generalized Poisson distributionMultivariate generalized Poisson geometric process model with scale mixtures of normal distributionsA logarithmic series type distributionSome approximation properties of modified Jain-beta operatorsModeling overdispersed or underdispersed count data with generalized Poisson integer-valued GARCH modelsA sequence of positive linear operators associated with an approximation processMultilevel zero-inflated generalized Poisson regression modeling for dispersed correlated count dataAutoregressive conditional negative binomial model applied to over-dispersed time series of countsInfluence analysis for count data based on generalized Poisson regression modelsModelling count data with overdispersion and spatial effectsRasch's multiplicative Poisson model with covariatesConfidence interval estimation in the class of modified power series distributionsZero-Inflated Spatial Models: Application and InterpretationON THE DISTRIBUTION OF ORDER STATISTICS FOR A RANDOM SAMPLE SIZEA class of count models and a new consistent test for the Poisson distributionGeometric generated family of distributions: a reviewA new generalization of the negative binomial distributionSome autoregressive moving average processes with generalized Poisson marginal distributionsGeneralized smooth finite mixturesGeneralized poisson regression for positive count dataOn construction and simulation of count data modelsComputer generation of generalized negative binomial deviatesRobust confidence bounds for the mean of some count data modelsScore Tests for Zero-Inflation in Overdispersed Count DataON THE DISTRIBUTIONS OF ORDER STATISTICS FOR A RANDOM SAMPLE SIZETesting parameter of the power series distribution of a zero inflated power series modelStatistical control charts for shifted generalized poisson distributionOn Some Distributional Properties of the Family of Weighted Generalized Poisson DistributionThe distributions of sufficient statistics of truncated generalized logarithmic series, poisson and negative binomial distributionsA score test for overdispersion in Poisson regression based on the generalized Poisson-2 modelBayesian approach to errors-in-variables in count data regression models with departures from normality and overdispersionSome properties of extreme stable laws and related infinitely divisible random variablesA complete asymptotic expansion for operators of exponential type with \(p\left( x\right) =x\left( 1+x\right)^2\)A new concept for count distributionsNon nested model selection for spatial count regression models with application to health insuranceA discrete version of the half-normal distribution and its generalization with applicationsMaximum likelihood estimation for the generalized poisson distribution when sample mean is larger than sample varianceAnalysis of survival data by an exponential-generalized Poisson distributionMODELLING ZERO-INFLATED COUNT DATA WITH A SPECIAL CASE OF THE GENERALISED POISSON DISTRIBUTIONBayesian analysis of Cannabis offences using generalized Poisson geometric process model with flexible dispersionA new long-term survival model with dispersion induced by discrete frailtyDiagnostics for generalized Poisson regression models with errors in variablesGeneralized Poisson models arising from Markov processesFlexible models for overdispersed and underdispersed count dataGoodness-of-fit tests for generalized logarithmic series distributionSome new statistical methods for a class of zero-truncated discrete distributions with applicationsThe incomplete exponential \(_p R_p(\alpha,\beta;z)\) function with applicationsNegative moments of a modified power series distribution and bias of the maximum likelihood estimatorCharacterizations and model selections through reliability measures in the discrete caseTail behavior of the queue size and waiting time in a queue with discrete autoregressive arrivalsModeling overdispersed or underdispersed count data with generalized Poisson integer-valued autoregressive processesOn the generalization and estimation for the double poisson distributionRecent and classical goodness-of-fit tests for the Poisson distributionThe generalized Markov-Polya probability model for ascertainment of groups of individuals in social processesOn some properties of a class of weighted quasi-binomial distributionsOn some compound distributions with Borel summandsRandom variate generators for the Poisson-Poisson and related distributionsWhen does the surplus reach a given target?Asymptotic behaviour of Jain operators