Let f0(x) be the p f of the Bernoulli distribution with parameter 0 3, and let f1(x) be the p f of the Bernoulli distribution with parameter 0 6 Suppose that a single observation X is taken from a distribution for which the p d f f (x) is either f0(x) or f1(x), and the following simple hypotheses a...

According to Theorem 921 we should reject H 0 if f 1 x f 0 x not re ...

Let f0(x) be the p.f. of the Bernoulli distribution with parameter 0.3, and let f1(x) be the

Question:

Let f0(x) be the p.f. of the Bernoulli with parameter 0.3, and let f1(x) be the p.f. of the Bernoulli with parameter 0.6. Suppose that a single observation X is taken from a for which the p.d.f. f (x) is either f0(x) or f1(x), and the following simple hypotheses are to be tested:
H0: f (x) = f0(x),
H1: f (x) = f1(x).
Find the test procedure δ for which the value of α(δ) + β(δ) is a minimum.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...