A New Shifted Lomax-X Family of Distributions : Properties and Applications to Actuarial and Financial Data
Atchadé, M., Agbahide, A., Otodji, T., Bogninou, M., Moussa Djibril, A. (2025). A New Shifted Lomax-X Family of Distributions : Properties and Applications to Actuarial and Financial Data. EKB Journal Management System, 4(1), 41-71. doi: 10.21608/cjmss.2024.307114.1066
Mintodê Nicodème Atchadé; Agossou Alex Agbahide; Théophile Otodji; Mahoulé Jude Bogninou; Aliou Moussa Djibril. "A New Shifted Lomax-X Family of Distributions : Properties and Applications to Actuarial and Financial Data". EKB Journal Management System, 4, 1, 2025, 41-71. doi: 10.21608/cjmss.2024.307114.1066
Atchadé, M., Agbahide, A., Otodji, T., Bogninou, M., Moussa Djibril, A. (2025). 'A New Shifted Lomax-X Family of Distributions : Properties and Applications to Actuarial and Financial Data', EKB Journal Management System, 4(1), pp. 41-71. doi: 10.21608/cjmss.2024.307114.1066
Atchadé, M., Agbahide, A., Otodji, T., Bogninou, M., Moussa Djibril, A. A New Shifted Lomax-X Family of Distributions : Properties and Applications to Actuarial and Financial Data. EKB Journal Management System, 2025; 4(1): 41-71. doi: 10.21608/cjmss.2024.307114.1066

A New Shifted Lomax-X Family of Distributions : Properties and Applications to Actuarial and Financial Data

Computational Journal of Mathematical and Statistical Sciences
Volume 4, Issue 1, April 2025, Page 41-71  XML PDF (695.79 K)
Document Type: Original Article
DOI: 10.21608/cjmss.2024.307114.1066
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Authors
Mintodê Nicodème Atchadé email orcid 1, 2; Agossou Alex Agbahide1; Théophile Otodji1; Mahoulé Jude Bogninou1; Aliou Moussa Djibril1
1National Higher School of Mathematical Engineering and Modeling, National University of Sciences, Technologies, Engineering and Mathematics, Abomey, Benin Republic
2University of Abomey-Calavi/ International Chair in Mathematical Physics and Applications (ICMPA: UNESCO-Chair), 072 BP 50 Cotonou, Benin Republic
Abstract
The Lomax distribution, which is often used to describe severe losses and financial risks because of its heavy tail features, is the basis distribution of the shifted Lomax (SHL-X) family of distributions that we propose in this study. The main objective is to increase the adaptability and accuracy of the traditional Lomax model in the representation of complex data sets. We explore various mathematical properties of the special member called the shifted Lomax Weibull (SHL-W), including its moments, quantile function and entropy measures. We employ the maximum likelihood estimation approach to estimate the parameters of the SHL-W distribution. Simulation studies
are conducted to evaluate the estimators’ accuracy and dependability. The practical applicability of the proposed model is demonstrated by its application to insurance data, highlighting its effectiveness in modeling claims and determining appropriate premium rates.The findings highlight the new model’s potential for broader applications in risk management and financial analysis by showing that it is more data-adapted than competing models.
Keywords
Shifted Lomax; Risk measures; Lomax weibull; Family of distributions; Mathematical Properties
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