Mathematical Statistics: Basic Ideas and Selected Topics

alternative apply approximation assume asymptotic B₁ Bayes binomial bound calculate called Chapter complete compute conditional confidence interval continuous corresponding critical defined definition denote density depends discrete discussed distribution equal equivalent error estimate event Example exist expectation experiment exponential finite fixed frequency function give given holds hypothesis important independent indicate instance interested known least likelihood limit linear maximum mean measure method N₁ natural normal normal distribution Note observations obtain parameter population possible probability Problem procedures Proof properties random variables rank ratio reasonable REFERENCES reject respectively result rule sample satisfies Section Show situations squares statistic sufficient Suppose Table Theorem theory treatment true U.M.V.U. estimate unbiased unknown usually variance vector versus write X₁ Y₁ σ²