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Conditional probability: The probability that an event occurs given the outcome of other event. Generally written, Pr(A|B). For instance, the probability of a person being color blind provided that the person is male is about 0.1, and the corresponding probability given that the person is female is roughly 0.0001. It is not, certainly necessary that Pr(A|B)=Pr(B| A); the probability of having the spots given that the patient has measles, for instance, is very high, the probability of measles given that the patient has spots is, however, much less. If Pr(A|B)=Pr(A) then the events A and B are said to be self-governing.
The probability distribution which is a linear function of the number of component probability distributions. This type of distributions is used to model the populations thought to
Consider a decision faced by a cattle breeder. The breeder must decide how many cattle he should sell in the market each year and how many he should retain for breeding purposes. S
An oil company is considering whether or not to bid for an offshore drilling contract. If they bid, the value would be $600m with a 65% chance of gaining the contract. The company
Probability weighting is the procedure of attaching weights equal to inverse of the probability of being selected, to each respondent's record in the sample survey. These weights
Categorical variable : A variable which provides the appropriate label of observation after the allocation to one of the several possible categories, for instance, the respiratory
1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let N (t) = N1(t) + N2(t). a) What is the distribution of the time till the next epoch
The Null Hypothesis - H0: There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1: There is heteroscedasticity i.e. β 1 0 Reject H0 if |t | > t = 1.96
The biggest and smallest variate values among the sample of observations. Significant in various regions, for instance flood levels of the river, speed of wind and snowfall.
Complier average causal effect (CACE): The treatment effect amid true compliers in the clinical trial. For the suitable response variable, the CACE is given by the difference in o
Maximum likelihood estimation is an estimation procedure involving maximization of the likelihood or the log-likelihood with respect to the parameters. Such type of estimators is
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