136 Result(s)
within
N. Balakrishnan
Probability Theory and Stochastic Processes
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Article
Preface to a Special Issue in Memory of Professor Theophilos Cacoullos
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A robust Birnbaum–Saunders regression model based on asymmetric heavy-tailed distributions
Skew-normal/independent distributions provide an attractive class of asymmetric heavy-tailed distributions to the usual symmetric normal distribution. We use this class of distributions here to derive a robust...
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Article
On a Family of Discrete Log-Symmetric Distributions
The use of continuous probability distributions has been widespread in problems with purely discrete nature. In general, such distributions are not appropriate in this scenario. In this paper, we introduce a c...
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Chapter
A Record-Based Transmuted Family of Distributions
Recently, much attention in distribution theory has focused on the family of transmuted distributions derived through a quadratic rank transmutation map. Its stochastic construction as a mixture, through the u...
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Chapter
Robust Statistical Inference for One-Shot Devices Based on Density Power Divergences: An Overview
In this chapter, we provide a detailed review of divergence-based robust inferential methods for one-shot device testing under different lifetime distributions. Proposed estimators and Wald-type tests are show...
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Article
North-east bivariate records
Bivariate records have many application in different fields such as hydrology, economy, finance and weather forecasting; see, for example, the works of Bayramoglu (Metrika 79:725–747, 2016) and Kemalbay and Ba...
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Robust estimators for one-shot device testing data under gamma lifetime model with an application to a tumor toxicological data
Due to its flexibility, gamma distribution is commonly used for lifetime data analysis in reliability and survival studies, and especially in one-shot device testing data. In the study of such data, inducing m...
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On the existence and uniqueness of the maximum likelihood estimates of parameters of Laplace Birnbaum–Saunders distribution based on Type-I, Type-II and hybrid censored samples
In this paper, we discuss the existence and uniqueness of the maximum likelihood estimates (MLEs) of the parameters of Laplace Birnbaum–Saunders distribution based on Type-I, Type-II and hybrid censored sample...
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Article
Joint records from two exponential populations and associated inference
For two independent sequences of independent and identically distributed exponential random variables with different scale parameters based on observed lower-joint records, inter-record times, and record indic...
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Article
Exact inference for Laplace distribution under progressive Type-II censoring based on BLUEs
In this paper, upon using the known expressions for the Best Linear Unbiased Estimators (BLUEs) of the location and scale parameters of the Laplace distribution based on a progressively Type-II right censored ...
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Article
An EM algorithm for the destructive COM-Poisson regression cure rate model
In this paper, we consider a competitive scenario and assume the initial number of competing causes to undergo a destruction after an initial treatment. This brings in a more realistic and practical interpreta...
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Ordering properties of the smallest order statistics from generalized Birnbaum–Saunders models with associated random shocks
Let \(X_{1},\ldots , X_{n}\) ...
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Article
Nonparametric confidence intervals for ranked set samples
In this work, we propose several different confidence interval methods based on ranked-set samples. First, we develop bootstrap bias-corrected and accelerated method for constructing confidence intervals based...
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Article
Prediction of censored exponential lifetimes in a simple step-stress model under progressive Type II censoring
In this article, we consider the problem of predicting survival times of units from the exponential distribution which are censored under a simple step-stress testing experiment. Progressive Type-II censoring ...
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On a new class of skewed Birnbaum-Saunders models
Scale mixtures of Birnbaum–Saunders (SBS) distributions are attractive models in lifetime analysis. These models are based on scale mixture of normal (SMN) distributions and provide flexible heavy-tailed distr...
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On moment-type estimators for a class of log-symmetric distributions
In this paper, we propose three simple closed form estimators for a class of log-symmetric distributions on \({\mathbb {R}}^{+}\) ...
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Article
Likelihood inference for the destructive exponentially weighted Poisson cure rate model with Weibull lifetime and an application to melanoma data
In this paper, we develop the steps of the expectation maximization algorithm (EM algorithm) for the determination of the maximum likelihood estimates (MLEs) of the parameters of the destructive exponentially ...
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Estimation in generalized bivariate Birnbaum–Saunders models
In this paper, we propose two moment-type estimation methods for the parameters of the generalized bivariate Birnbaum–Saunders distribution by taking advantage of some properties of the distribution. The propo...
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Empirical phi-divergence test statistics for the difference of means of two populations
Empirical phi-divergence test statistics have demostrated to be a useful technique for the simple null hypothesis to improve the finite sample behavior of the classical likelihood ratio test statistic, as well...
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Constrained test in linear models with multivariate power exponential distribution
We investigate the problem of testing equality and inequality constraints on regression coefficients in linear models with multivariate power exponential (MPE) distribution. This distribution has received cons...
