Exponential Distribution: Theory, Methods and Applications

ISBN-13: 9780367448660 / Angielski / Miękka / 2020 / 664 str.

K. Balakrishnan

Opis

The exponential distribution is one of the most significant and widely used distribution in statistical practice. It possesses several important statistical properties, and yet exhibits great mathematical tractability. This volume provides a systematic and comprehensive synthesis of the diverse literature on the theory and applications of the exponential distribution. Discussions include exponential regression, models and applications of mixtures, and applications to survival analysis.

Spis treści

Genesis
Basic Distributional Results and Properties
Order Statistics and Their Properties
MLEs under Censoring and Truncation and Inference
Linear Estimation under Censoring and Inference
Reliability Estimation and Applications
Inferences under Two-Sample and Multi-Sample Situations
Tolerance Limits and Acceptance Sampling Plans
Prediction Problems
Bayesian Inference and Applications
Conditional Inference and Applications
Characterizations
Goodness-of-Fit Tests
Outliers and Some Related Inferential Issues
Extensions to Estimation under Multiple-Outlier Models
Selection and Ranking Procedures
Record Values
Related Distributions and Some Generalizations
Mixtures – Models and Applications
Bivariate Exponential Distributions
Inference for Multivariate Exponential Distributions
Optimal Tests in Multivariate Exponential Distributions
Accelerated Life Testing with Applications
System Reliability and Associated Inference
Exponential Regression with Applications
Two-Stage and Multi-Stage Estimation
Two-Stage and Multi-Stage Tests of Hypotheses
Sequential Inference
Competing Risks Theory and Identifiability Problems
Applications in Survival Analysis
Applications in Queueing Theory
Exponential Classification and Applications
Computer Simulations

O autorze

Balakrishnan, K.