Home Articles List Article Information
The Egyptian Statistical Journal
Journal Archive
Volume Volume 69 (2025)
Volume Volume 68 (2024)
Volume Volume 67 (2023)
Volume Volume 66 (2022)
Volume Volume 65 (2021)
Volume Volume 64 (2020)
Volume Volume 63 (2019)
Volume Volume 62 (2018)
Volume Volume 61 (2017)
Volume Volume 60 (2016)
Volume Volume 59 (2015)
Volume Volume 58 (2014)
Volume Volume 57 (2013)
Volume Volume 56 (2012)
Volume Volume 55 (2011)
Volume Volume 54 (2010)
Volume Volume 53 (2009)
Volume Volume 52 (2008)
Volume Volume 51 (2007)
Volume Volume 50 (2006)
Volume Volume 49 (2005)
Volume Volume 48 (2004)
Volume Volume 47 (2003)
Volume Volume 46 (2002)
Volume Volume 45 (2001)
Volume Volume 44 (2000)
Volume Volume 43 (1999)
Volume Volume 42 (1998)
Volume Volume 41 (1997)
Volume Volume 40 (1996)
Volume Volume 39 (1995)
Volume Volume 38 (1994)
Volume Volume 37 (1993)
Volume Volume 36 (1992)
Volume Volume 35 (1991)
Volume Volume 34 (1990)
Volume Volume 33 (1989)
Volume Volume 32 (1988)
Volume Volume 31 (1987)
Volume Volume 30 (1986)
Volume Volume 29 (1985)
Volume Volume 28 (1984)
Volume Volume 27 (1983)
Volume Volume 26 (1982)
Volume Volume 25 (1981)
Volume Volume 24 (1980)
Volume Volume 23 (1979)
Volume Volume 22 (1978)
Volume Volume 21 (1977)
Volume Volume 20 (1976)
Volume Volume 19 (1975)
Volume Volume 18 (1974)
Volume Volume 17 (1973)
Volume Volume 16 (1972)
Volume Volume 15 (1971)
Volume Volume 14 (1970)
Volume Volume 9 (1965)
Volume Volume 4 (1960)
Volume Volume 3 (1959)
Volume Volume 2 (1958)
Abdelall, Y., Ismail, G., Nagy, H. (2025). A New Bounded Distribution: Covid-19 Application. The Egyptian Statistical Journal, 69(1), 1-29. doi: 10.21608/esju.2025.330520.1047
Yassmen Y. Abdelall; Gehad Ismail; Heba Nagy. "A New Bounded Distribution: Covid-19 Application". The Egyptian Statistical Journal, 69, 1, 2025, 1-29. doi: 10.21608/esju.2025.330520.1047
Abdelall, Y., Ismail, G., Nagy, H. (2025). 'A New Bounded Distribution: Covid-19 Application', The Egyptian Statistical Journal, 69(1), pp. 1-29. doi: 10.21608/esju.2025.330520.1047
Abdelall, Y., Ismail, G., Nagy, H. A New Bounded Distribution: Covid-19 Application. The Egyptian Statistical Journal, 2025; 69(1): 1-29. doi: 10.21608/esju.2025.330520.1047

A New Bounded Distribution: Covid-19 Application

Article 1, Volume 69, Issue 1, June 2025, Page 1-29  XML PDF (1.03 MB)
Document Type: Original Article
DOI: 10.21608/esju.2025.330520.1047
View on SCiNiTO View on SCiNiTO
Authors
Yassmen Y. Abdelall1; Gehad Ismail2; Heba Nagy email orcid 1
1Faculty of Graduate Studies for Statistical Research, Cairo University, 12613, Giza, Egypt
2Department of Basic Science, Higher Technological Institute, 10th of Ramadan, Egypt
Abstract
The modeling of proportional or percentage data through continuous distributions specified on the unit interval has become progressively relevant in various fields. This paper presents the unit inverse power Lomax distribution as a strong framework for such applications. The proposed model is thoroughly investigated, detailing its quantile function, moments, incomplete moments, probability-weighted moments, order statistics, stress-strength reliability function, and entropy measures. Ten distinct methods for estimation of the involved parameters, such as maximum likelihood, maximum product of spacings, minimum spacing absolute-log distance, least square, weighted least square, percentile, Anderson-Darling, left-tail Anderson-Darling estimation, left-tail Anderson-Darling second-order, and Cramer-von Mises, are studied. The significance of the presented model is demonstrated through comparative analysis with several existing statistical models via two applications using real datasets. This research underlines the potential advantages of the new distribution in accurately modeling proportional data, paving the way for further studies and practical applications.
Keywords
Entropy measures; Estimation methods; Order statistics; Stress-strength; Unit inverse power Lomax distribution
Main Subjects
Estimation methods
Statistics
Article View: 33
PDF Download: 64