Uncertainty and Estimation in Economics, Volum 1Holden-Day, 1969 |
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arithmetic mean Bayes binomial variate Cambridge Economics Tripos chi-squared variate coefficient column vector conditional probability consistent continuous variates corresponding elements covariance cumulant function defined definition denote deviation discrete variates disjoint exhaustive set disjoint single results distribution function elementary events equal equation estimate events E(t example expected value F-ratio fair roulette-wheel finite follows formula frequency function function f(x G₁ given Hence inconsistent independent variates irrelevant marginal probability measurement matrix measurement vector moment-generating function normal variates numerical probabilities obtain orthogonal Poisson variate population possible posterior probability density postulate preference ordering prior probability density prob probability comparisons probability density function probability function probability model probability number probability ordering probability vector regard regression relations of type represented results of spinning sample with replacement satisfy set of events simple random sample Solution Suppose Theorem uncorrelated variance variance-covariance matrix variate with parameter X₁ y₁ zero