Flowgraph models for multistate time-to-event data
[Book]
/ Aparna V. Huzurbazar
Hoboken, N.J.
: Wiley-Interscience,
, c2005.
xii, 270 p. , ill. , 25 cm.
Electronic
Includes bibliographical references (p. 251-260) and indexes.
Multistate Models and Flowgraph Models -- Multistate Models -- Flowgraphs as Multistate Models -- Computational Aspects -- Flowgraph Models -- Flowgraph Basics: Models for Series Structures -- Series Flowgraph Models versus Series Engineering Systems -- Flowgraph Models for Parallel Structures -- Combinations of Series and Parallel Flowgraphs -- Loop Flowgraph Model -- Solving Flowgraph Models -- Solving the Simple Series Flowgraph -- General Results for Convolution -- Solving Parallel Flowgraphs -- Solving Combinations of Series and Parallel Flowgraphs -- Solving Flowgraphs with Feedback Loops -- Combining Series, Parallel, and Loop Flowgraphs -- Systematic Procedure for Solving Flowgraphs -- Flowgraphs for Counts -- Inversion of Flowgraph Moment Generating Functions -- Exact Inversion of Flowgraph MGFs -- Approximate Inversion of Flowgraph MGFs: Saddlepoint Approximation -- Using Saddlepoint Approximations with Flowgraph Models -- Inversion of Complex Flowgraphs -- General Saddlepoint Program -- Censored Data Histograms -- Survivor and Reliability Functions -- Hazard and Cumulative Hazard Functions -- Kaplan-Meier Estimator -- Estimating the Hazard -- Histogram for Censored Data -- Bayesian Prediction for Flowgraph Models -- Bayesian Predictive Density -- Sampling from the Posterior -- Rejection Sampling -- Gibbs Sampling -- Laplace's Method -- Slice Sampling -- Using Slice Sampling with Flowgraphs -- Computational Implementation of Flowgraph Models -- Code for Censored Data Histograms -- Saddlepoint Approximation Code -- Code for Bayesian Analysis -- Code for Maximum Likelihood Analysis -- Code for post.c -- Code for transform.c -- Semi-Markov Processes -- Birth and Death Processes -- Application to a Markov Model of HIV Infection -- Flowgraph Analysis of Semi-Markov Models -- Flowgraph Model for Diabetic Retinopathy -- Flowgraph Model for a Construction Engineering Project -- Phase Type Distributions -- Incomplete Data -- Constructed Likelihood -- Simulations of Unrecognized Incomplete Data -- Flowgraph Models for Queuing Systems -- M/M/1 Queue -- Cellular Telephone Network: M/M/c Queue -- Cellular Telephone Network: Complete Data -- Startup Cells and Incomplete Data -- Cellular Telephone Network: M/G/1 Queue -- Infinite-State M/M/c Queue -- Moment Generating Functions.