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：
暂无
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.
引用
收藏
页码：1 / 42
页数：41
相关论文
共 50 条
  • [21] On the cardinality of some families of discrete connectives
    Munar, Marc
    Massanet, Sebastia
    Ruiz-Aguilera, Daniel
    INFORMATION SCIENCES, 2023, 621 : 708 - 728
  • [22] ERLANG MIXTURES OF SOME DISCRETE DISTRIBUTIONS
    Roy, M. K.
    Haque, M. E.
    Roy, D. C.
    PAKISTAN JOURNAL OF STATISTICS, 2008, 24 (01): : 45 - 56
  • [23] On some tame and discrete families of modules
    Bautista, R
    INFINITE LENGTH MODULES, 2000, : 321 - 330
  • [24] SOME INFINITELY DIVISIBLE DISCRETE DISTRIBUTIONS
    KATTI, SK
    WARDE, W
    ANNALS OF MATHEMATICAL STATISTICS, 1968, 39 (03): : 1092 - &
  • [25] MOMENT RELATIONS FOR SOME DISCRETE DISTRIBUTIONS
    WANI, JK
    ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (03): : 768 - &
  • [26] SOME INFLATED GENERALIZED DISCRETE DISTRIBUTIONS
    LINGAPPAIAH, GS
    COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1977, 6 (03): : 231 - 241
  • [27] ON CERTAIN CHARACTERISTICS OF SOME DISCRETE DISTRIBUTIONS
    BARDWELL, GE
    BIOMETRIKA, 1960, 47 (3-4) : 473 - 475
  • [28] A note on incomplete and boundedly complete families of discrete distributions
    Purkayastha, Sumitra
    STATISTICS & RISK MODELING, 2009, 27 (04) : 327 - 334
  • [29] Some new statistical methods for a class of zero-truncated discrete distributions with applications
    Tian, Guo-Liang
    Ding, Xiqian
    Liu, Yin
    Tang, Man-Lai
    COMPUTATIONAL STATISTICS, 2019, 34 (03) : 1393 - 1426
  • [30] Some new statistical methods for a class of zero-truncated discrete distributions with applications
    Guo-Liang Tian
    Xiqian Ding
    Yin Liu
    Man-Lai Tang
    Computational Statistics, 2019, 34 : 1393 - 1426
12345