arXiv subjects

Sanjay Kumar Singh

Publications and source records attributed to Sanjay Kumar Singh.

24 records · Page 2Linked to original sources

arXiv2018

Power Maxwell distribution: Statistical Properties, Estimation and Application

In this article, we proposed a new probability distribution named as power Maxwell distribution (PMaD). It is another extension of Maxwell distribution (MaD) which would lead more flexibility to analyze the data with non-monotone failure rate. Different statistical properties such as reliability characteristics, moments, quantiles, mean deviation, generating function, conditional moments, stochastic ordering, residual lifetime function and various entropy measures have been derived. The estimation of the parameters for the proposed probability distribution has been addressed by maximum likelihood estimation method and Bayes estimation method. The Bayes estimates are obtained under gamma prior using squared error loss function. Lastly, real-life application for the proposed distribution has been illustrated through different lifetime data.

stat.AP↗

arXiv2015

Diagonal property of the symmetric product of a smooth curve

Let $C$ be an irreducible smooth projective curve defined over an algebraically closed field. We prove that the symmetric product ${\rm Sym}^d(C)$ has the diagonal property for all $d \geq 1$. For any positive integers $n$ and $r$, let ${\mathcal Q}_{{\mathcal O}^{\oplus n}_C}(nr)$ be the Quot scheme parametrizing all the torsion quotients of ${\mathcal O}^{\oplus n}_C$ of degree $nr$. We prove that ${\mathcal Q}_{{\mathcal O}^{\oplus n}_C}(nr)$ has the weak point property.

math.AG↗

arXiv2014

The inverse Lindley distribution: A stress-strength reliability model

In this article, we proposed an inverse Lindley distribution and studied its fundamental properties such as quantiles, mode, stochastic ordering and entropy measure. The proposed distribution is observed to be a heavy-tailed distribution and has a upside-down bathtub shape for its failure rate. Further, we proposed its applicability as a stress-strength reliability model for survival data analysis. The estimation of stress-strength parameters and $R=P[X>Y]$, the stress-strength reliability has been approached by both classical and Bayesian paradigms. Under Bayesian set-up, non-informative (Jeffrey) and informative (gamma) priors are considered under a symmetric (squared error) and a asymmetric (entropy) loss functions, and a Lindley-approximation technique is used for Bayesian computation. The proposed estimators are compared in terms of their mean squared errors through a simulation study. Two real data sets representing survival of Head and Neck cancer patients are fitted using the inverse Lindley distribution and used to estimate the stress-strength parameters and reliability.

stat.AP↗

arXiv2010

DNA-MATRIX a tool for DNA motif discovery and weight matrix construction

In computational molecular biology, gene regulatory binding sites prediction in whole genome remains a challenge for the researchers. Now a days, the genome wide regulatory binding site prediction tools required either direct pattern sequence or weight matrix. Although there are known transcription factor binding sites databases available for genome wide prediction but no tool is available which can construct different weight matrices as per need of user or tools available for large data set scanning by first aligning the input upstream or promoter sequences and than construct the matrices in different level and file format. Considering this, we developed a DNA MATRIX tool for searching putative regulatory binding sites in gene upstream sequences. This tool uses the simple biological rule based heuristic algorithm for weight matrix construction, which can be transformed into different formats after motif alignment and therefore provides the possibility to identify the most potential conserved binding sites in the regulated genes. The user may construct and save specific weight or frequency matrices in different form and file formats based on user based selection of conserved aligned block of short sequences ranges from 6 to 20 base pairs and prior nucleotide frequency before weight scoring.

q-bio.GN↗

arXiv2003

Contents of Physics Related E-Print Archives

The frontiers of physics related e-print archives (1994-2002) at http://www.arxiv.org/archives/physics web service are explored from 7770 submissions. No. of e-prints in the six research disciplines besides physics (5390) were: Condensed matter(754), Quantum physics(279), Astrophysics(222), Chemical physics(129), High energy physics Phenomenology(118), and High energy physics-Theory(100)). By keyword contents following major sub-fields have high frequency: Atomic physics(1258), General physics(1121), Chemical physics(892), Accelerator physics(769), Optics(686), Biological physics(674), and Computational physics(607). Interdomainary co-word cluster analysis revealed higher e-print contents for: Classical physics-General physics(108), Quantum physics-Optics(53), and High energy physics (Phenomenology)Atomic physics(49). Prominent contributors were B. G. Sidharth (India), V. V. Flambaum (Australia), Antonina N. Fedorova (Russia), and Michael G. Zeitlin (Russia).

physics.data-an↗

arXiv2003

Bianchi Type I Magnetofluid Cosmological Models with Variable Cosmological Constant Revisited

The behaviour of magnetic field in anisotropic Bianchi type I cosmological model for bulk viscous distribution is investigated. The distribution consists of an electrically neutral viscous fluid with an infinite electrical conductivity. It is assumed that the component $σ^{1}_{1}$ of shear tensor $σ^{j}_{i}$ is proportional to expansion ($θ$) and the coefficient of bulk viscosity is assumed to be a power function of mass density. Some physical and geometrical aspects of the models are also discussed in presence and also in absence of the magnetic field.

gr-qc↗