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Distribution and time‐series modelling of ordinal circular data
Author(s) -
Jha J.,
Biswas A.
Publication year - 2018
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.2490
Subject(s) - mathematics , series (stratigraphy) , distribution (mathematics) , geometric distribution , univariate distribution , statistics , ordinal data , random variable , probability distribution , mathematical analysis , paleontology , biology
In this paper, we discuss the distribution of a circular random variable having positive probabilities only on uniformly spaced directions. We used the wrapping of geometric distribution to construct two discrete distributions on the circle. The distributional properties and estimation procedures for the underlying model parameters are discussed. Some tests for the distribution are proposed. Simulation studies are done to illustrate the distribution. Then, using the distribution, we carry out the time‐series analysis of wind direction data where the sample space also contains the no wind state.