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Year 2024, Volume: 45 Issue: 2, 194 - 200, 30.06.2024

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

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

Abstract

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).

New Circular Distribution with an Application to Biology

Year 2024, Volume: 45 Issue: 2, 194 - 200, 30.06.2024

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

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

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

Circular data Weighted exponential distribution Characteristic function Moments Wrapped distributions

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).
There are 29 citations in total.

Details

Primary Language English
Subjects Computational Statistics
Journal Section Natural Sciences
Authors

Phanı Yedlapalli 0000-0002-3402-8920

Venkata Sesha Girija Sagi 0000-0003-4471-5203

Peddi Raju Cherukuri 0000-0001-8828-3057

Naveen Venkata Kishore Gajula 0000-0001-7260-4071

Project Number NA
Publication Date June 30, 2024
Submission Date June 17, 2023
Acceptance Date February 27, 2024
Published in Issue Year 2024Volume: 45 Issue: 2

Cite

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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