New One-Parameter Over-Dispersed Discrete Distribution and Its Application to the Nonnegative Integer-Valued Autoregressive Model of Order One

New One-Parameter Over-Dispersed Discrete Distribution and Its Application to the Nonnegative Integer-Valued Autoregressive Model of Order One

Count data arise in inference, modeling, prediction, anomaly detection, monitoring, resource allocation, evaluation, and performance measurement. This paper focuses on a one-parameter discrete distribution obtained by compounding the Poisson and new X-Lindley distributions. The probability-generatin...

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Bibliographic Details
Main Authors: Muhammed Rasheed Irshad, Sreedeviamma Aswathy, Radhakumari Maya, Saralees Nadarajah
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Mathematics
Subjects:
discrete statistical model
dispersion index
hazard rate function
parameter estimation
simulation
INAR(1)
Online Access:https://www.mdpi.com/2227-7390/12/1/81

Internet

https://www.mdpi.com/2227-7390/12/1/81

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