Families of Discrete Circular Distributions with Some Novel Applications

被引：0
|
作者：
Kanti V. Mardia
Karthik Sriram
机构：
[1] University of Leeds,
[2] University of Oxford,undefined
[3] Indian Institute of Management Ahmedabad,undefined
来源：
Sankhya A | 2023年 / 85卷
关键词：
Conditionalized families; marginalized families; roulette spin data; acrophase data; von Mises distribution; wrapped Cauchy distribution.; Primary 62H15; 62R30; Secondary 62E10; 62F03;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：1 / 42
页数：41
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