On generalized log-Moyal distribution: a new heavy tailed size distribution

D Bhati, S Ravi - Insurance: Mathematics and Economics, 2018 - Elsevier
A new class of distributions, the generalized log-Moyal, suitable for modelling heavy tailed
data is proposed in this article. This class exhibits desirable properties relevant to actuarial …

A class of claim distributions: properties, characterizations and applications to insurance claim data

Z Ahmad, E Mahmoudi, G Hamedani - … in Statistics-Theory and …, 2022 - Taylor & Francis
Actuaries are often in search of finding an adequate model for actuarial and financial risk
management problems. In the present work, we introduce a class of claim distributions …

Composite and mixture distributions for heavy-tailed data—An application to insurance claims

WA Marambakuyana, SC Shongwe - Mathematics, 2024 - mdpi.com
This research provides a comprehensive analysis of two-component non-Gaussian
composite models and mixture models for insurance claims data. These models have …

Estimation and prediction for power Lindley distribution under progressively type II right censored samples

R Valiollahi, MZ Raqab, A Asgharzadeh… - … and Computers in …, 2018 - Elsevier
In survival, reliability and medical studies, it is natural to have experience with several
situations pertaining to testing, cost or money constraints where the removal of units prior to …

Aggregation of dependent risks in mixtures of exponential distributions and extensions

JM Sarabia, E Gómez-Déniz, F Prieto… - ASTIN Bulletin: The …, 2018 - cambridge.org
The distribution of the sum of dependent risks is a crucial aspect in actuarial sciences, risk
management and in many branches of applied probability. In this paper, we obtain analytic …

On estimation procedures of constant stress accelerated life test for generalized inverse Lindley distribution

D Kumar, M Nassar, S Dey… - Quality and Reliability …, 2022 - Wiley Online Library
In manufacturing industries and several other fields, accelerated life testing is used widely to
obtain sufficient failure time data of test units quickly as compared to normal use conditions …

Optimal estimation of reliability parameter for inverse Pareto distribution with application to insurance data

N Joshi, SR Bapat, RN Sengupta - International Journal of Quality & …, 2024 - emerald.com
Optimal estimation of reliability parameter for inverse Pareto distribution with application to
insurance data | Emerald Insight Books and journals Case studies Expert Briefings Open …

Statistical inference based on Lindley record data

A Asgharzadeh, A Fallah, MZ Raqab, R Valiollahi - Statistical Papers, 2018 - Springer
Based on record statistics from Lindley distribution, we consider here the problem of
estimating the model parameter and predicting the unobserved records. Frequentist and …

Statistical inference for the inverse Lindley distribution based on lower record values: Accepted-January 2024

BE Golestani, E Ormoz, S MirMostafaee - REVSTAT-Statistical Journal, 2024 - revstat.ine.pt
In this paper, we discuss the problem of classical and Bayesian estimation of the parameter
of the inverse Lindley distribution based on lower records as well as the prediction of its …

Estimation of the system reliability for generalized inverse Lindley distribution based on different sampling designs

FG Akgul, K Yu, B Senoglu - Communications in Statistics-Theory …, 2021 - Taylor & Francis
In this paper, we are interested in estimating stress-strength reliability when the distributions
of stress and strength are independent generalized inverse Lindley (GIL) under different …