MAT 2379 Lecture Notes - Lecture 1: Point Estimation, Variance, Linear Map
15 Dec 2015
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Sampling terminology: in practice we repeat an experiment n times. Select n subjects and identify their blood type. Select n small surfaces in a eld and count the number of beetle larvae. We will model each observation as a random variable, that is xi is the ith obser- vation. Remark: we will assume that the trials are independent, if we repeat the same experiment, then the random variables x1, , xn are said to be identically distributed. This common distribution is called the popu- lation: if x1, , xn are independent and identically distributed, then we say that they are a random sample of size n from a particular population. Parameters of the population: here are parameters of the population that we often would like to estimate. Often we are interested in the probability that an event a will occur. We denote this probability p = p (a). X is the growth of a randomly chosen seedling in a lab.
