Abstract

Recently, there has been a growing interest in discrete valued wrapped distributions and the trigonometric moments.<br />Characteristic functions of stable processes have been used to study the estimation of the model parameters using<br />estimating function approach (Thavaneswaran et al., 2013). In this paper, we introduce a new discrete circular distribution,<br />the wrapped zero-inflated Poisson distribution and derive its population characteristics.<br /><br />

Highlights

  • Directional data is a natural occurence in many scientific fields such as earth science, meteorology, biology, medicine and astronomy where data is a set of observations on directions

  • Characteristic functions of stable processes have been used to study the estimation of the model parameters using estimating function approach (Thavaneswaran et al, 2013)

  • We introduce a new discrete circular distribution, the wrapped zero-inflated Poisson distribution and derive its population characteristics

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Summary

Introduction

Directional data is a natural occurence in many scientific fields such as earth science, meteorology, biology, medicine and astronomy where data is a set of observations on directions. Two-dimensional directions can be represented with respect to some suitable starting point and a “sense of rotation” Observations from such directions are called circular data (see more details, Jammalamadaka and SenGupta, 2001). Thavaneswaran and Ravishanker (2015) studied estimating functions for circular models with continuous circular distributions, and discussed the related information issues. In this present paper, we introduce a new discrete circular distribution, the wrapped zero-inflated Poisson distribution and derive its population characteristics

Circular Probability Distributions
Wrapped Discrete Distribution
Wrapped Zero-inflated Poisson Distribution
Central Trigonometric Moments of Wrapped Zero-inflated Poisson Distribution

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