New Circular Distribution with an Application to Biology

Phanı Yedlapalli; Venkata Sesha Girija Sagi; Peddi Raju Cherukuri; Naveen Venkata Kishore Gajula

doi:10.17776/csj.1316115

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] Levy, P.L., Addition des variables al’ eateries d’efinies sur une circonf’erence. Bull. Soc. Math. 67(1939)1-41.
[2] Jammalamadaka S. R., Sengupta, A., Topics in Circular Statistics, New York, World Scientific, (2001).
[3] Jammalamadaka S. R., Kozubowski, T. J., A wrapped exponential circular model, Proc. AP Acad. Sci., 5(2001a)43–56.
[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] 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] 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] Roy, S., Adnam, M, A, S., Wrapped weighted exponential distributions, Statistics and Probability Letters, 82(2012a) 77-83.
[8] Shongkour R., Arif Shams A., Wrapped Generalized Gompertz distribution: an Application to Ornithology, Journal of Biometrics and Biostatistics,3(6)(2012)1-4.

[9] Sagi Venkata Sesha G., A.V.Dattatreya R., and Phani Y., On Stereographic lognormal Distribution, International Journal of Advances in Applied Sciences (IJAAS), 2(3) (2013)125-132.
[10] Sagi Venkata Sesha G., A.V. Dattatreya R., Phani Y., New Circular model induced by Inverse Stereographic projection on Double Exponential Model - Application to Birds Migration Data, Journal of Applied Mathematics, Statistics and Informatics(JAMSI),10(1) (2014)5-17.
[11] Rao, A.V.D., Sagi Venkata Sesha G, and Phani Y., Stereographic Logistic Model – Application to Ornithology, Chilean Journal of Statistics, 7(2) (2016)69-79.
[12] Phani, Y., Girija.S.V.S., A. Dattatreya R., Circular model induced by inverse stereographic projection on extreme-value distribution, Engineering Science and Technology, 2 (5) (2012)881-888.
[13] Phani Y., Girija.S.V.S., A. Dattatreya R., On construction of sstereographic Semicircular Models, Journal of Applied Probability and Statistics, 8(1) (2013)75-90.
[14] Phani Y., A.J. Venkata R., Sagi Venkata Sesha G., A.V. Dattatreya R., On Trigonometric moments of the Stereographic Semicircular Gamma distribution, European Journal of Pure and Applied Mathematics, 10(5) (2017)1124-1134.
[15] Phani Yedlapalli, G.N.V.Kishore, Waddi Boulila, Anis Koubaa, and Nabil Mlaiki, Toward Enhanced Geological Analysis: a Novel Approach Based on Transmuted Semicircular Distribution. Symmetry, 15(2023)1-18. https://doi.org/10.3390/sym15112030.
[16] Savitri J., Jose K.K., Wrapped Lindley distribution, Communications in Statistics-Theory and Methods, 47(5) (2018)1013-1021.
[17] Abdullah Y., Cenker B., A new wrapped exponential distribution, Mathematical Sciences, 12(2018) 285-293.
[18] Ahmad M.H.AI-K., Ayat T.R.Al-M., Wrapped Akash Distribution, Electron. J. Appl. Stat. Anal., 14(2) (2021)305-317.
[19] Ahmad M.H.AI-K., Ayat T.R. Al-M., Wrapped Ishita Distribution, J. Stat. Appl. Pro. 10(2) (2021a)293-299.
[20] Ahmad M.H.AI-K., Shawkat Al- K., On wrapping of quasi Lindley distribution, Mathematics (MDPI), 7(10) (2019) 1-9.
[21] Ayat T.R.Al-M., Ahmad M.H.AI-K., Wrapped Shanker Distribution, Ital. J. Pure Appl.Math. 46(2021) 184-194.
[22] Phani Y., Sagi Venkata Sesha G, A.V. Dattatreya R., and Sastry.K.L.N., A new family of semicircular and circular arc tan-exponential type distributions, Thai Journal of Mathematics,18 (2) (2020)775-781.
[23] Ayesha I., Azeem A., Muhammad H., Half circular modified burr-III distribution, application with different estimation methods, Plos One,7(5) (2022) 1- 21.
[24] Karakaya, K., Tanış, C., Different methods of estimation for the one parameter Akash distribution. Cumhuriyet Science Journal, 41(4) (2020) 944-950.
[25] Tanış, C., Saraçoğlu, B., Kuş, C., Pekgör, A., Transmuted complementary exponential power distribution: properties and applications. Cumhuriyet Science Journal, (2020) 41(2) 419-432.
[26] Korkmaz, M. Ç., Karakaya, K., Akdoğan, Y., Ünal, Y., Parameters Estimation for the Unit log-log Distribution. Cumhuriyet Science Journal, 44(1) (2023) 224-228.
[27] Oguntunde, P.E., Owoloko, E.A., Balogun, O.S., On a New Weighted Exponential Distribution: Theory and Application, Asian Journal of Applied Sciences,9 (1) (2016) 1-12.DOI: 10.3923/ajaps.
[28] C.P. Goodyear, Terrestrial and Aquatic Orientation in the Starhead Topminnow, Fundulus Notti, Science,168(1970)603-605.
[29] N.I. Fisher, Statistical Analysis of Circular Data, Cambridge University Press, Cambridge, (1993).

Details

Primary Language

English

Subjects

Computational Statistics

Journal Section

Research Article

Authors

Phanı Yedlapalli ^*
0000-0002-3402-8920
India

Venkata Sesha Girija Sagi
0000-0003-4471-5203
India

Peddi Raju Cherukuri
0000-0001-8828-3057
India

Naveen Venkata Kishore Gajula
0000-0001-7260-4071
India

Publication Date

June 30, 2024

Submission Date

June 17, 2023

Acceptance Date

February 27, 2024

Published in Issue

Year 2024 Volume: 45 Number: 2

DOI

https://doi.org/10.17776/csj.1316115

IZ

https://izlik.org/JA39NT57KT

Cite

RIS / Bibtex

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

AMA

1.Yedlapalli P, Sagi VSG, Cherukuri PR, Gajula NVK. New Circular Distribution with an Application to Biology. CSJ. 2024;45(2):194-200. doi:10.17776/csj.1316115

Chicago

Yedlapalli, Phanı, Venkata Sesha Girija Sagi, Peddi Raju Cherukuri, and Naveen Venkata Kishore Gajula. 2024. “New Circular Distribution With an Application to Biology”. Cumhuriyet Science Journal 45 (2): 194-200. https://doi.org/10.17776/csj.1316115.

EndNote

Yedlapalli P, Sagi VSG, Cherukuri PR, Gajula NVK (June 1, 2024) New Circular Distribution with an Application to Biology. Cumhuriyet Science Journal 45 2 194–200.

IEEE

[1]P. Yedlapalli, V. S. G. Sagi, P. R. Cherukuri, and N. V. K. Gajula, “New Circular Distribution with an Application to Biology”, CSJ, vol. 45, no. 2, pp. 194–200, June 2024, doi: 10.17776/csj.1316115.

ISNAD

Yedlapalli, Phanı - Sagi, Venkata Sesha Girija - Cherukuri, Peddi Raju - Gajula, Naveen Venkata Kishore. “New Circular Distribution With an Application to Biology”. Cumhuriyet Science Journal 45/2 (June 1, 2024): 194-200. https://doi.org/10.17776/csj.1316115.

JAMA

1.Yedlapalli P, Sagi VSG, Cherukuri PR, Gajula NVK. New Circular Distribution with an Application to Biology. CSJ. 2024;45:194–200.

MLA

Yedlapalli, Phanı, et al. “New Circular Distribution With an Application to Biology”. Cumhuriyet Science Journal, vol. 45, no. 2, June 2024, pp. 194-00, doi:10.17776/csj.1316115.

Vancouver

1.Phanı Yedlapalli, Venkata Sesha Girija Sagi, Peddi Raju Cherukuri, Naveen Venkata Kishore Gajula. New Circular Distribution with an Application to Biology. CSJ. 2024 Jun. 1;45(2):194-200. doi:10.17776/csj.1316115