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20232026
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9 papers · 1 filter

math.ST2026

Parametric bootstrap simultaneous confidence interval based on doubly type-II censoring

Dipak Patra, Lakshmi Kanta Patra

Parametric bootstrap and fiducial generalized methods are proposed to construct simultaneous confidence intervals (SCIs) for all pairwise mean differences of several two-parameter…

math.ST2026

Estimating ordered variance of two scale mixture of normal distributions

Shrajal Bajpai, Lakshmi Kanta Patra

This study investigates component wise estimation of ordered variances of scale mixture of two normal distributions. For this study two special loss functions are considered namely…

math.ST2025

Estimating order scale parameters of two scale mixture of exponential distributions

Somnath Mondal, Lakshmi Kanta Patra

The scale mixture of the exponential distribution provides a flexible framework for modelling lifetime and reliability data. This model is widely used in survival analysis, biomedi…

math.ST2025

Estimating location parameters of several exponential distributions with ordered restriction under Linex loss function

Shrajal Bajpai, Lakshmi Kanta Patra, Suchandan Kayal

Some improved estimators of the location parameters of several exponential distributions with ordered restriction are derived and compared numerically using Monte Carlo simulations…

math.ST2024

On the improved estimation of ordered parameters based on doubly type-II censored sample

Shrajal Bajpai, Lakshmi Kanta Patra

A doubly type-II censored scheme is an important sampling scheme in the life testing experiment and reliability engineering. In the present commutation, we have considered estimati…

math.ST2024

Improved estimation of the positive powers ordered restricted standard deviation of two normal populations

Somnath Mondal, Lakshmi Kanta Patra

The present manuscript is concerned with component-wise estimation of the positive power of ordered restricted standard deviation of two normal populations with certain restriction…

math.ST2024

Estimating location parameters of two exponential distributions with ordered scale parameters

Lakshmi Kanta Patra, Constantinos Petropoulos, Shrajal Bajpai +1

In the usual statistical inference problem, we estimate an unknown parameter of a statistical model using the information in the random sample. A priori information about the param…

math.ST2023

On improved estimation of the larger location parameter

Naresh Garg, Lakshmi Kanta Patra, Neeraj Misra

This paper investigates the problem of estimating the larger location parameter of two general location families from a decision-theoretic perspective. In this estimation problem,…

math.ST2023

Inadmissibility of invariant estimator of function of scale parameter of several exponential distributions

Lakshmi Kanta Patra, Shrajal Bajpai, Neeraj Misra

In various applied areas such as reliability engineering, molecular biology, finance, etc., the measure of uncertainty of a probability distribution plays an important role. In the…