Probability and StatisticsThe revision of this well-respected text presents a balance of the classical and Bayesian methods. The theoretical and practical sides of both probability and statistics are considered. New content areas include the Vorel- Kolmogorov Paradox, Confidence Bands for the Regression Line, the Correction for Continuity, and the Delta Method. |
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Introduction to Probability | 1 |
Conditional Probability | 57 |
Random Variables and Distributions | 97 |
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actually approximately assume B₁ balls Bayes called chosen Consider constant contains continuous decision defective defined degrees of freedom denote derived described Determine discussion distribution with mean distribution with parameters equal estimator Example Exercise exist expected experiment Find follows form a random function Furthermore given H₁ head Hence hypotheses independent interval joint distribution joint p.d.f. known least level of significance likelihood linear marginal method normal distribution observed values obtained otherwise outcomes pair particular person positive posterior Pr(X probability problem properties random sample random variable regression rejected relation result sample mean satisfied sequence Show shown simple specified squares statistic sufficient statistic Suppose that X₁ Table tail taken test procedure Theorem tossed true uniform distribution unknown variables X₁ variance variance o² vector Y₁