The First Order Integer-Valued Autoregressive Models with The Two-Parameter Generalized Poisson-Lindley Distribution Based on The Negative Binomial Thinning Operator

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Suchiraporn Bunyaris
Jiraphan Suntornchost


In this study, we introduce the first order integer-valued autoregressive models for count data with the two-parameter generalized Poisson-Lindley distribution based on negative binomial thinning operator. Some important probabilistic and statistical properties such as generating function, expectation and variance are derived. Finally, parameter estimations are discussed.

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Bunyaris, S., & Suntornchost, J. (2021). The First Order Integer-Valued Autoregressive Models with The Two-Parameter Generalized Poisson-Lindley Distribution Based on The Negative Binomial Thinning Operator. Mathematical Journal by The Mathematical Association of Thailand Under The Patronage of His Majesty The King, 66(704), 63–77. Retrieved from
Research Article


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