Browsing by Author "Puneet Kumar Gupta"

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Bivariate extension of bathtub-shaped distribution
(Springer, 2022) Puneet Kumar Gupta; Pramendra Singh Pundir; Vikas Kumar Sharma; M. Mesfioui
Modeling of bathtub-shaped hazard rate function commonly arises in reliability and survival analyses. The present article introduces a bivariate extension of the Chen distribution that has bathtub-shaped hazard function. The proposed distribution has closed-form expressions for the joint survival function and conditional distributions. Several properties of the proposed distribution such as joint moments, marginals and conditional distributions are discussed. We obtain maximum likelihood estimators for estimating the unknown parameters using the expectation-maximization algorithm. At the end, application of the proposed distribution is illustrated by means of a real-life application. © 2022, The Author(s), under exclusive licence to Society for Reliability and Safety (SRESA).
Statistical analysis of fertility control measures in diverse group of females
(Natural Sciences Publishing, 2020) Brijesh Pratap Singh; Sonam Maheshwari; Puneet Kumar Gupta
Fertility in India will continue to decline steadily to below-replacement levels towards the end of the century, and then recover early next century. Averages aggregated at the national level however, mask the considerable economic, cultural and spatial heterogeneity at the regional level, which in turn, have a profound influence on the level and pace of fertility decline. Conventional fertility theories highlight the influence of modernization, social and economic development and diffusion of changing ideas and individualistic values on the desired number of children. In this study estimation of fertility pattern is analyzed by two fertility control measure. First measure is based on the birth interval treated as non- homogenous Poisson Process and second measure is based on ASFR. The results indicate fertility after age 35 is decreasing; it may be due to use of contraception or curtailing fertility after age 35 years. © 2020 NSP Natural Sciences Publishing Cor.