Author

Tanmay Kayal

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Preprint Sep 2026

Copula-Based Bivariate Kumaraswamy-Teissier Distributions: Modeling Temperature-Rainfall Dependence and Compound Extremes

This study proposes two novel bivariate distributions for jointly modeling temperature and rainfall by integrating Kumaraswamy-Teissier marginals with Clayton and Gumbel copula structures. To capture a wide range of dependence patterns, including both positive and negative associations, rotated copula variants (90{\deg...

Kamana Mishra, Tanmay Kayal, Sarita Azad School Of Mathematical et al. · 0 citations

Preprint Sep 2026

A Quantile-Based Kumaraswamy-Teissier autoregressive moving average models

This paper introduces a quantile-based Kumaraswamy-Teissier autoregressive moving average (KTARMA) model for positive-valued time series. Leveraging the flexibility of the extended Kumaraswamy-Teissier distribution within an observation-driven framework, the random component of the distribution is conditioned on the hi...

Kamana Mishra, Tanmay Kayal, Sarita Azad School Of Mathematical et al. · 0 citations

Preprint Aug 2026

Optimal Designs in Multicomponent Stress Strength Reliability for the Unit Generalized Rayleigh Distribution

A unified inferential framework is developed to address the stress-strength reliability of multicomponent systems under progressive Type II censoring. The maximum likelihood estimate of reliability is obtained using an expectation-maximization algorithm, followed by the determination of the corresponding Fisher informa...

Rajat Das, Y. Tripathi, Tanmay Kayal · 0 citations