Indranil Ghosh
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View article: Q3R: Quadratic Reweighted Rank Regularizer for Effective Low-Rank Training
Q3R: Quadratic Reweighted Rank Regularizer for Effective Low-Rank Training Open
Parameter-efficient training, based on low-rank optimization, has become a highly successful tool for fine-tuning large deep-learning models. However, these methods fail at low-rank pre-training tasks where maintaining the low-rank structu…
View article: On the comparison of variances of <i>X</i> and <i> X <sub>T</sub> </i> , hidden truncated version of <i>X</i> : a brief study
On the comparison of variances of <i>X</i> and <i> X <sub>T</sub> </i> , hidden truncated version of <i>X</i> : a brief study Open
Hidden truncation (alias latent variable) models play an important role in modeling various types of observed phenomena when one or more than one concomitant variable(s) is/are truncated below/ above or from both sides (alias two-sided) fr…
View article: Predicting BRICS NIFTY50 returns using XAI and S.A.F.E AI lens
Predicting BRICS NIFTY50 returns using XAI and S.A.F.E AI lens Open
Purpose Global fund managers, in their effort toward risk diversification and generating higher returns, design portfolios that consist of financial assets of various countries. In the process, they expose their investors not only to the f…
View article: Estimation of System Reliability Based on Inverted Exponentiated Pareto Distribution Under a Progressively First‐Failure Censored Scheme With Application
Estimation of System Reliability Based on Inverted Exponentiated Pareto Distribution Under a Progressively First‐Failure Censored Scheme With Application Open
This article explores and derives the estimation of the multicomponent stress–strength (MSS) reliability parameter, assuming that the samples are coming from the inverted exponentiated Pareto distribution using a progressively first‐failur…
View article: Dynamic Adaptive Hybrid Censoring Improves Partially Accelerated Life Testing Under Step Stress: Sustainability Application by Precipitation and Carbon Fibers Data
Dynamic Adaptive Hybrid Censoring Improves Partially Accelerated Life Testing Under Step Stress: Sustainability Application by Precipitation and Carbon Fibers Data Open
Accelerated life testing is crucial for assessing the durability of products under various stresses like pressure, temperature, and voltage. The modified Kies exponential distribution, known for its flexible probability density and hazard …
View article: A Bivariate Poisson-Gamma Distribution: Statistical Properties and Practical Applications
A Bivariate Poisson-Gamma Distribution: Statistical Properties and Practical Applications Open
Although the specification of bivariate probability models using a collection of assumed conditional distributions is not a novel concept, it has received considerable attention in the last decade. In this study, a bivariate distribution-t…
View article: Hidden Truncation Models: Theory and Applications
Hidden Truncation Models: Theory and Applications Open
This review article focuses on hidden truncation models, a versatile framework for modeling a wide range of random phenomena. These models are characterized by the condition that the primary study variable(s) are observable only when a con…
View article: New Parametric Approach for Modeling Hydrological Data: An Alternative to the Beta, Kumaraswamy, and Simplex Models
New Parametric Approach for Modeling Hydrological Data: An Alternative to the Beta, Kumaraswamy, and Simplex Models Open
We propose a new approach of continuous distributions in the unit interval, focusing on hydrological applications. This study presents the innovative two‐parameter model called modified exponentiated generalized (MEG) distribution. The eff…
View article: Fractional order induced bifurcations in Caputo-type denatured Morris-Lecar neurons
Fractional order induced bifurcations in Caputo-type denatured Morris-Lecar neurons Open
We set up a system of Caputo-type fractional differential equations for a reduced-order model known as the {\em denatured} Morris-Lecar (dML) neurons. This neuron model has a structural similarity to a FitzHugh-Nagumo type system. We explo…
View article: Fractional Order Induced Bifurcations in Caputo-Type Denatured Morris-Lecar Neurons
Fractional Order Induced Bifurcations in Caputo-Type Denatured Morris-Lecar Neurons Open
View article: Sample-Efficient Geometry Reconstruction from Euclidean Distances using Non-Convex Optimization
Sample-Efficient Geometry Reconstruction from Euclidean Distances using Non-Convex Optimization Open
The problem of finding suitable point embedding or geometric configurations given only Euclidean distance information of point pairs arises both as a core task and as a sub-problem in a variety of machine learning applications. In this pap…
View article: Dynamical properties of a small heterogeneous chain network of neurons in discrete time
Dynamical properties of a small heterogeneous chain network of neurons in discrete time Open
We propose a novel nonlinear bidirectionally coupled heterogeneous chain network whose dynamics evolve in discrete time. The backbone of the model is a pair of popular map-based neuron models, the Chialvo and the Rulkov maps. This model is…
View article: Data augmentation based methods for estimating the parameters of the Feller-Pareto distribution: theory and applications
Data augmentation based methods for estimating the parameters of the Feller-Pareto distribution: theory and applications Open
In income and wealth data modeling Pareto distribution and its several variants play an important role. Both univariate and multivariate variations of this model have been extensively used as a suitable model for various non-negative socio…
View article: Bayesian Inference for a Hidden Truncated Bivariate Exponential Distribution with Applications
Bayesian Inference for a Hidden Truncated Bivariate Exponential Distribution with Applications Open
In many real-life scenarios, one variable is observed only if the other concomitant variable or the set of concomitant variables (in the multivariate scenario) is truncated from below, above, or from a two-sided approach. Hidden truncation…
View article: Statistical inference of a step-stress model with competing risks under time censoring for alpha power exponential distribution
Statistical inference of a step-stress model with competing risks under time censoring for alpha power exponential distribution Open
Accelerated life testing in a reliability experiment allows test units to be under more stress than normal (expected). Step-stress tests are a subset of accelerated life tests that raise the stress levels at specific predetermined time per…
View article: On discriminating between Libby-Novick generalized beta and Kumaraswamy distributions: theory and methods
On discriminating between Libby-Novick generalized beta and Kumaraswamy distributions: theory and methods Open
In fitting a continuous bounded data, the generalized beta (and several\nvariants of this distribution) and the two-parameter Kumaraswamy (KW)\ndistributions are the two most prominent univariate continuous distributions\nthat come to our …
View article: On Surprise Indices Related to Univariate Discrete and Continuous Distributions: A Survey
On Surprise Indices Related to Univariate Discrete and Continuous Distributions: A Survey Open
The notion that the occurrence of an event is surprising has been discussed in the literature without adequate details. By definition, a surprise index is an index by which how surprising an event is may be determined. Since its inception,…
View article: A New Class of Alternative Bivariate Kumaraswamy-Type Models: Properties and Applications
A New Class of Alternative Bivariate Kumaraswamy-Type Models: Properties and Applications Open
In this article, we introduce two new bivariate Kumaraswamy (KW)-type distributions with univariate Kumaraswamy marginals (under certain parametric restrictions) that are less restrictive in nature compared with several other existing biva…
View article: On classical and Bayesian inference for bivariate Poisson conditionals distributions: Theory, methods and applications
On classical and Bayesian inference for bivariate Poisson conditionals distributions: Theory, methods and applications Open
Bivariate count data arise in several different disciplines (epidemiology, marketing, sports statistics, etc., to name but a few) and the bivariate Poisson distribution which is a generalization of the Poisson distribution plays an importa…
View article: Bivariate binomial conditionals distributions with positive and negative correlations: A statistical study
Bivariate binomial conditionals distributions with positive and negative correlations: A statistical study Open
In this article, we discuss a bivariate distribution whose conditionals are univariate binomial distributions and the marginals are not binomial that exhibits negative correlation. Some useful structural properties of this distribution nam…
View article: Remarks on the Papers by Coelho-Barros et al. (2017), Usman et al. (2021) and Obeid and Kadry (2022)
Remarks on the Papers by Coelho-Barros et al. (2017), Usman et al. (2021) and Obeid and Kadry (2022) Open
We would like to point out that the formula for the cumulative distribution given in Coelho-Barros et al. (2017) and a similar version of it given in Usman et al. (2021) are not cumulative distribution functions as these functions do not s…
View article: Inferences of a Mixture Bivariate Alpha Power Exponential Model with Engineering Application
Inferences of a Mixture Bivariate Alpha Power Exponential Model with Engineering Application Open
The univariate alpha power exponential (APE) distribution has several appealing characteristics. It behaves similarly to Weibull, Gamma, and generalized exponential distributions with two parameters. In this paper, we consider different bi…
View article: On the Robustness and Sensitivity of Several Nonparametric Estimators via the Influence Curve Measure: A Brief Study
On the Robustness and Sensitivity of Several Nonparametric Estimators via the Influence Curve Measure: A Brief Study Open
The use of influence curve as a measure of sensitivity is not new in the literature but has not been properly explored to the best of our knowledge. In particular, the mathematical derivation of the influence function for several popular n…
View article: Statistical Inference on a Finite Mixture of Exponentiated Kumaraswamy-G Distributions with Progressive Type II Censoring Using Bladder Cancer Data
Statistical Inference on a Finite Mixture of Exponentiated Kumaraswamy-G Distributions with Progressive Type II Censoring Using Bladder Cancer Data Open
A new family of distributions called the mixture of the exponentiated Kumaraswamy-G (henceforth, in short, ExpKum-G) class is developed. We consider Weibull distribution as the baseline (G) distribution to propose and study this special su…
View article: Modeling Bivariate Dependency in Insurance Data via Copula: A Brief Study
Modeling Bivariate Dependency in Insurance Data via Copula: A Brief Study Open
Copulas are a quite flexible and useful tool for modeling the dependence structure between two or more variables or components of bivariate and multivariate vectors, in particular, to predict losses in insurance and finance. In this articl…
View article: Classical and Bayesian Inference on Finite Mixture of Exponentiated Kumaraswamy Gompertz and Exponentiated Kumaraswamy Fréchet Distributions under Progressive Type II Censoring with Applications
Classical and Bayesian Inference on Finite Mixture of Exponentiated Kumaraswamy Gompertz and Exponentiated Kumaraswamy Fréchet Distributions under Progressive Type II Censoring with Applications Open
A finite mixture of exponentiated Kumaraswamy Gompertz and exponentiated Kumaraswamy Fréchet is developed and discussed as a novel probability model. We study some useful structural properties of the proposed model. To estimate the model p…
View article: Some properties of stop-loss moments under biased sampling
Some properties of stop-loss moments under biased sampling Open
The stop-loss moments have generally been used as useful summary measures for analyzing the data which exceeds specific threshold levels. In many scientific studies, the investigator cannot record the sampling units with equal probability,…
View article: Bivariate Beta and Kumaraswamy Models Developed Using the Arnold-Ng Bivariate Beta Distribution
Bivariate Beta and Kumaraswamy Models Developed Using the Arnold-Ng Bivariate Beta Distribution Open
In this paper we explore some mechanisms for constructing bivariate and multivariate beta and Kumaraswamy distributions. Specifically, we focus our attention on the Arnold-Ng (2011) eight parameter bivariate beta model. Several models in t…
View article: Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model
Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model Open
Exponentiated exponential (EE) model has been used effectively in reliability, engineering, biomedical, social sciences, and other applications. In this study, we introduce a new bivariate mixture EE model with two parameters assuming two …
View article: Tail Conditional Expectations Based on Kumaraswamy Dispersion Models
Tail Conditional Expectations Based on Kumaraswamy Dispersion Models Open
Recently, there seems to be an increasing amount of interest in the use of the tail conditional expectation (TCE) as a useful measure of risk associated with a production process, for example, in the measurement of risk associated with sto…