Wrapped Length Biased Exponential Distribution

Authors

  • Phani Yedlapalli Department of Mathematics, Shri Vishnu Engineering College for Women (A), Vishnupur, Bhimavaram, India
  • S.V.S. Girija Department of Mathematics, Hindu College, Guntur, India
  • Y. Sreekanth Department of Mathematics, Hindu College, Guntur, India

Keywords:

Circular model, estimation, length biased exponential distribution, parameters, wrapped Lindley distribution, skewness and kurtosis

Abstract

In this article, a new circular distribution called wrapped length biased exponential distribution is introduced. The properties of the new distribution are discussed and explicit expressions are derived for the characteristic function, trigonometric moments, and other statistical measures like resultant length, mean, circular variance, standard deviation, coefficient of skewness, and kurtosis. The maximum likelihood estimation is used to evaluate the model parameter and simulation study is conducted to investigate the performance of the estimator.  Finally, an application of the model to a real data set is presented and compared with the fit attained by some other well-known models in the literature.

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Published

2024-06-29

How to Cite

Yedlapalli, P. ., Girija, S. ., & Sreekanth, Y. . (2024). Wrapped Length Biased Exponential Distribution. Thailand Statistician, 22(3), 688–700. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/254778

Issue

Vol. 22 No. 3 (2024): July

Section

Articles

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