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Testing parameter of the power series distribution of a zero inflated power series model
Authors:MK Patil  DT Shirke  
Institution:

aP.V.P. Mahavidyalaya, Kavathe Mahankal, Dist. Sangli, (MS) 416 405, India

bDepartment of Statistics, Shivaji University, Kolhapur, (MS) 416 004, India

Abstract:The Zero Inflated Power Series Distribution (ZIPSD) contains two parameters. The first parameter indicates inflation of zero and the other parameter is that of the Power Series distribution. We provide three asymptotic tests for testing the parameter of Power Series distribution, using an unconditional (standard) likelihood approach, a conditional likelihood approach and a test based on sample mean, respectively. The performance of these three tests has been studied for Zero Inflated Poisson Distribution (ZIPD). Asymptotic Confidence Intervals for the parameter are also provided.
Keywords:Zero inflated model  Asymptotic test  Conditional likelihood
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