Families of Discrete Circular Distributions with Some Novel Applications

Kanti V. Mardia () and Karthik Sriram
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Kanti V. Mardia: University of Leeds
Karthik Sriram: Indian Institute of Management Ahmedabad

Sankhya A: The Indian Journal of Statistics, 2023, vol. 85, issue 1, No 1, 42 pages

Abstract: Abstract We give a unified treatment of constructing families of circular discrete distributions. Some of these families are deduced from established distributions such as von Mises and wrapped Cauchy. Some others are derived directly such as a flexible family based on trigonometric sums and the circular location family. Results interrelating these families are discussed. These distributions have been motivated by two examples of discrete circular data: casino roulette spins and smart health acrophase monitoring, and these data are analyzed using our proposed models. We discuss how using continuous circular models for circular discrete data can be misleading.

Keywords: Conditionalized families; marginalized families; roulette spin data; acrophase data; von Mises distribution; wrapped Cauchy distribution.; Primary 62H15, 62R30; Secondary 62E10, 62F03 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13171-022-00298-z

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