Sankhya A
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Skorohod representation theorem via disintegrations
Sankhya A - Tập 72 - Trang 208-220 - 2010
Let (µ
n
: n ≥ 0) be Borel probabilities on a metric space S such that µ
n
→ µ0 weakly. Say that Skorohod representation holds if, on some probability space, there are S-valued random variables X
n
satisfying X
n
......
A Class of Multivariate Power Skew Symmetric Distributions: Properties and Inference for the Power-Parameter
Sankhya A - Tập 85 Số 2 - Trang 1356-1393 - 2023
Invariance, model matching and probability matching
Sankhya A - Tập 74 - Trang 170-193 - 2012
For an invariant statistical model we consider the induced right Haar prior distribution and the resulting right Haar posterior. Using this posterior distribution, HPD (highest posterior density) regions of constant posterior probability are constructed and shown to exhibit probability matching. Further, HPD regions for equivariant functions of the parameter are also shown to exhibit probability m......
Uncertainty Quantification in Robust Inference for Irregularly Spaced Spatial Data Using Block Bootstrap
Sankhya A - Tập 80 - Trang 173-221 - 2018
This paper deals with uncertainty quantification (UQ) for a class of robust estimators of population parameters of a stationary, multivariate random field that is observed at a finite number of locations s1,…, sn, generated by a stochastic design. The class of robust estimators considered here is given by the so-called M-estimators that in particular include robust estimators of location, scale, l......
On Kolmogorov asymptotics of estimators of the misclassification error rate in linear discriminant analysis
Sankhya A - Tập 75 Số 2 - Trang 300-326 - 2013
Inference for Generalized Inverted Exponential Distribution Under Progressive Type-I Censoring Scheme in Presence of Competing Risks Model
Sankhya A - Tập 85 - Trang 43-76 - 2021
In this paper, the problem of estimation of the parameters for the GIED based on progressive Type-I censoring scheme in the presence of competing risks model will be considered under Bayesian and non-Bayesian approaches. In this regards, the MLEs, asymptotic confidence intervals and bootstrap confidence interval for the unknown parameters are obtained. The relative risks due to each cause of failu......
Some New Copula Based Distribution-free Tests of Independence among Several Random Variables
Sankhya A - Tập 84 - Trang 556-596 - 2020
Over the last couple of decades, several copula based methods have been proposed in the literature to test for independence among several random variables. But these existing tests are not invariant under monotone transformations of the variables, and they often perform poorly if the dependence among the variables is highly non-monotone in nature. In this article, we propose a copula based measure......
Estimation Parameters for the Continuous q-Distributions
Sankhya A - Tập 85 - Trang 948-979 - 2022
In this paper, we are basically interested in the issue of estimation parameters for continuous q-distributions. The parameters estimation and simulation studies of three classical continuous Lindley, gamma and exponential q-distributions are elaborated. For the parameters estimation problem the moment method is used. The effectiveness of the proposed models are highlighted through simulation stud......
Design and Analysis of Accelerated Life Testing and its Application Under Rebate Warranty
Sankhya A - Tập 83 - Trang 393-407 - 2020
The study deals with the advancement of accelerated life testing in the field of product warranty. The expected total cost and expected cost rate for age replacement is estimated under warranty policy using accelerated life testing (ALT) plans. Under constant stress, the lifetimes of the units are assumed to follow generalised exponential distribution. The estimation process is carried through max......
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