The Statistical Analysis of Series of Events
The poisson process; Analysis of trends; Stationary point processes; Estimation of second-order properties of stationary processes; Reewal processes and some related significance tests; Generalizations of renewal processes; Superposition of processes; Comparison of rates of occurrence; Some generalizations.
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The Poisson Process
Analysis of Trends
Stationary Point Processes
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analysis approximation asymptotic Bartlett branching Poisson process bution cent Chapter chi-squared distribution coefficient of variation component processes consider covariance density degrees of freedom denote discussed distribution of intervals distribution-free empirical distribution function equation error events occur exponential distribution failure g+(co Gamma distribution give given intensity function intervals between successive intervals of length linear Markov maximum likelihood mean methods normal distribution null hypothesis number of events obtained order statistics period of observation Poisson distribution Poisson hypothesis Poisson process pooled output probability problem procedure random variables rate of occurrence regression second-order properties Section semi-Markov process serial correlation serial correlation coefficients series of events shown smoothed spectral density spectrum of counts spectrum of intervals stationary process subsidiary process successive events survivor function Table test statistic tests based tests for Poisson tion transform trend type I event variance variance-time curve weight function Xt's zero