Research Article

New Circular Distribution with an Application to Biology

Volume: 45 Number: 2 June 30, 2024
EN

New Circular Distribution with an Application to Biology

Abstract

In this paper, we introduce a new circular distribution known as the wrapped new weighted exponential distribution (WNWE) is introduced. We derive an explicit expression for its probability density function and establish closed-form expressions for the distribution function, characteristic function, and trigonometric moments. Furthermore, we discuss the properties of the proposed model. We employ the method of maximum likelihood estimation to estimate the parameters. To demonstrate the applicability of the proposed distribution, we analyze a real dataset consisting of 50 starhead top minnows.

Keywords

Supporting Institution

No supporting Institution

Project Number

NA

References

  1. [1] Levy, P.L., Addition des variables al’ eateries d’efinies sur une circonf’erence. Bull. Soc. Math. 67(1939)1-41.
  2. [2] Jammalamadaka S. R., Sengupta, A., Topics in Circular Statistics, New York, World Scientific, (2001).
  3. [3] Jammalamadaka S. R., Kozubowski, T. J., A wrapped exponential circular model, Proc. AP Acad. Sci., 5(2001a)43–56.
  4. [4] Jammalamadaka S. R., Kozubowski, T.J., New families of wrapped distributions for modeling skew circular data, Communications in Statistics-Theory and Methods,33 (9) (2004)2059-2074.
  5. [5] S. Rao J., Tomasz J. K., A new family of circular models: The wrapped Laplace distributions, Advances and Applications in Statistics, (2003)1-18.
  6. [6] Rao, A.V.D., Sarma I.R., Girija, S.V.S., On wrapped versions of some life testing models, Communications in Statistics-Theory and Methods, 36(11) (2007)2027-2035.
  7. [7] Roy, S., Adnam, M, A, S., Wrapped weighted exponential distributions, Statistics and Probability Letters, 82(2012a) 77-83.
  8. [8] Shongkour R., Arif Shams A., Wrapped Generalized Gompertz distribution: an Application to Ornithology, Journal of Biometrics and Biostatistics,3(6)(2012)1-4.

Details

Primary Language

English

Subjects

Computational Statistics

Journal Section

Research Article

Publication Date

June 30, 2024

Submission Date

June 17, 2023

Acceptance Date

February 27, 2024

Published in Issue

Year 2024 Volume: 45 Number: 2

APA
Yedlapalli, P., Sagi, V. S. G., Cherukuri, P. R., & Gajula, N. V. K. (2024). New Circular Distribution with an Application to Biology. Cumhuriyet Science Journal, 45(2), 194-200. https://doi.org/10.17776/csj.1316115

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