Mathematical and Statistical Applications in Life Sciences and Engineering

Description

The book includes articles from eminent international scientists discussing a wide spectrum of topics of current importance in mathematics and statistics and their applications. It presents state-of-the-art material along with a clear and detailed review of the relevant topics and issues concerned. The topics discussed include message transmission, colouring problem, control of stochastic structures and information dynamics, image denoising, life testing and reliability, survival and frailty models, analysis of drought periods, prediction of genomic profiles, competing risks, environmental applications and chronic disease control. It is a valuable resource for researchers and practitioners in the relevant areas of mathematics and statistics. Front Matter ....Pages i-xiv Front Matter ....Pages 1-1 Hole: An Emerging Character in the Story of Radio k-Coloring Problem (Ushnish Sarkar, Avishek Adhikari)....Pages 3-41 Robust Control of Stochastic Structures Using Minimum Norm Quadratic Partial Eigenvalue Assignment Technique (Kundan Goswami, Sonjoy Das, Biswa Nath Datta)....Pages 43-69 Single-Time and Multi-Time Hamilton–Jacobi Theory Based on Higher Order Lagrangians (Savin Treanţă, Constantin Udrişte)....Pages 71-95 Front Matter ....Pages 97-97 On Wavelet-Based Methods for Noise Reduction of cDNA Microarray Images (Tamanna Howlader, S. M. Mahbubur Rahman, Yogendra Prasad Chaubey)....Pages 99-120 A Transformation for the Analysis of Unimodal Hazard Rate Lifetimes Data (Kobby Asubonteng, Govind S. Mudholkar, Alan Hutson)....Pages 121-139 The Power M-Gaussian Distribution: An R-Symmetric Analog of the Exponential-Power Distribution (Saria Salah Awadalla, Govind S. Mudholkar, Ziji Yu)....Pages 141-157 Stochastic Volatility Models (SVM) in the Analysis of Drought Periods (Jorge Alberto Achcar, Roberto Molina de Souza, Emílio Augusto Coelho-Barros)....Pages 159-168 Nonparametric Estimation of Mean Residual Life Function Using Scale Mixtures (Sujit K. Ghosh, Shufang Liu)....Pages 169-191 Something Borrowed, Something New: Precise Prediction of Outcomes from Diverse Genomic Profiles (J. Sunil Rao, Jie Fan, Erin Kobetz, Daniel Sussman)....Pages 193-208 Bivariate Frailty Model and Association Measure (Ramesh C. Gupta)....Pages 209-223 On Bayesian Inference of \(R=P(Y < X)\) for Weibull Distribution (Debasis Kundu)....Pages 225-245 Air Pollution Effects on Clinic Visits in Small Areas of Taiwan: A Review of Bayesian Spatio-Temporal Analysis (Atanu Biswas, Jean-Francois Angers)....Pages 247-256 On Competing Risks with Masked Failures (Isha Dewan, Uttara Naik-Nimbalkar)....Pages 257-281 Environmental Applications Based on Birnbaum–Saunders Models (Víctor Leiva, Helton Saulo)....Pages 283-304 Analysis of Chronic Disease Processes Based on Cohort and Registry Data (Richard J. Cook, Jerald F. Lawless)....Pages 305-325 Exact Likelihood-Based Point and Interval Estimation for Lifetime Characteristics of Laplace Distribution Based on a Time-Constrained Life-Testing Experiment (Xiaojun Zhu, N. Balakrishnan)....Pages 327-372