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The Alpha Power Gompertz Distribution: Characterization, Properties, and Applications
Sankhya A - Tập 83 - Trang 449-475 - 2020
A new three-parameter model called the Alpha power Gompertz is derived, studied and proposed for modeling lifetime Poisson processes. The advantage of the new model is that, it has left skew, decreasing, unimodal density with a bathtub shaped hazard rate function. The statistical structural properties of the proposed model such as probability weighted moments, moments, order statistics, entropies,......
Posterior Contraction Rates for Stochastic Block Models
Sankhya A - Tập 82 - Trang 448-476 - 2019
With the advent of structured data in the form of social networks, genetic circuits and protein interaction networks, statistical analysis of networks has gained popularity over recent years. The stochastic block model constitutes a classical cluster-exhibiting random graph model for networks. There is a substantial amount of literature devoted to proposing strategies for estimating and inferring ......
Gibbs sampling, conjugate priors and coupling
Sankhya A - Tập 72 - Trang 136-169 - 2010
We give a large family of simple examples where a sharp analysis of the Gibbs sampler can be proved by coupling. These examples involve standard statistical models — exponential families with conjugate priors or location families with natural priors. Our main approach uses a single eigenfunction (always explicitly available in the examples in question) and stochastic monotonicity. We give a satisf......
On the use of antithetic variables to improve over the ranked set sampling estimator of the population mean
Sankhya A - Tập 73 - Trang 142-161 - 2011
In the ranked set sampling algorithm a sample of size n
2 is available. The data can be ranked without measurements. A subsample of size n is created using the information given by the ranks. The population mean is estimated by the subsample mean. In this paper, we investigate other ways for creating the subsample. To this end we introduce new sampling algorithms using the ......
Some Aging Properties Involved with Compound Geometric Distributions
Sankhya A - Tập 77 Số 2 - Trang 337-350 - 2015
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
......
Relation between Relative Hazard Rates and Residual Divergence with some Applications to Reliability Analysis
Sankhya A - Tập 85 Số 1 - Trang 784-802 - 2023
Moment matching priors
Sankhya A - - 2012
There are various proposals for the selection of the so-called “objective” or “default” priors in Bayesian analysis. The paper introduces a new criterion, the moment matching criterion, which requires the matching of the posterior mean with the maximum likelihood estimator up to a high order of approximation. A complete characterization of such priors in the one or multi-parameter case is provided......
Asymptotic Inferences in a Doubly-Semi-Parametric Linear Longitudinal Mixed Model
Sankhya A - Tập 85 - Trang 214-247 - 2021
Warriyar and Sutradhar (Brazilian J. Probab. Stat., 28, 561–586, 2014) studied a semi-parametric linear model in a longitudinal setup with Gaussian errors, where the main regression parameters were estimated using an efficient GQL (generalized quasi-likelihood) estimation approach, and the efficiency properties of the estimators were examined through a simulation study. In this paper we provide a ......
Reprint of: Mahalanobis, P.C. (1936) "On the Generalised Distance in Statistics."
Sankhya A - Tập 80 - Trang 1-7 - 2019
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