Transcription of Introduction to Estimation
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Introduction to Estimation
Introduction to EstimationOPRE 6301 Statistical Inference ..Statistical inferenceis the process by which we inferpopulation properties from sample are two types of statistical inference: Estimation Hypotheses TestingThe concepts involved are actually very similar, whichwe will see in due course. Below, we provide a basicintroduction to ..The objective of Estimation is to approximate the value ofa population parameter on the basis of a sample example, the sample mean Xis used to estimate thepopulation mean .There are two types of estimators: Point Estimator Interval Estimator2 Point Estimator ..Apoint estimatordraws inferences about a populationby estimating the value of an unknown parameter usinga single value that for a continuous variable, the probability ofassuming any particular value is zero. Hence, we are onlytrying to generate a value that is close to the true estimators typically donotreflect the effects oflarger sample sizes, whileinterval estimatordo.
, X¯ +z α/2 σ √ n (2) to contain, or to cover, the unknown population mean µ is 1 − α; and we now have a so-called confidence in-terval for µ. Note that the interval estimator (2) is con-structed from X¯, z α/2, σ, and n, all of which are known. The user-specified value 1− α is called the confidence level or coverage ...
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