Introduction to Mathematical Statistics
An exceptionally clear and impeccably accurate presentation of statistical applications and more advanced theory. Included is a chapter on the distribution of functions of random variables as well as an excellent chapter on sufficient statistics. More modern technology is used in considering limiting distributions, making the presentations more clear and uniform.
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accept Accordingly alternative approximate associated assume called chips complete compute conditional confidence interval Consider constant continuous type converges critical region decision defined definition degrees of freedom denote denote a random depend determine discrete type distribution function distribution with mean equal equation equivalent estimator event Example Exercise exists expectation fact Find frequency given Hence hypothesis H illustration independent inequality integral joint p.d.f. known Let X Let X1 likelihood limiting linear marginal matrix mean Moreover normal distribution Note observed obtain order statistics outcome parameters percent probability probability density functions problem prove random sample random variable ratio reject Remark replacement represent respectively result selected Show significance level sufficient statistic Suppose Table theorem transformation true unknown values variance write zero elsewhere