Transcription of Statistical Modeling - Princeton University
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Statistical Modeling - Princeton University
chapter 1 Statistical Statistical ModelsExample 1: ( sampling inspection). A lot containsNproducts with defective rate . Take a sample without replacement ofnproducts and getxdefective are the defective rates?Possible outcomes: GGDGGGDD , realization of do we connect the sample with the population?Modelling think of data as a realization of a the random 524: Statistical Modeling : Illustration of the sampling that a D = is large,a G = is Law: Under this physical experimentP(X=x) =(N x)(N N n x)(Nn),for max(0,n N(1 ))6x6min(n,N ). Convention:(n0)= 1,(nm)= 0 ifm > example,X/n and n(X/n ) N(0, (1 )).ORF 524: Statistical Modeling : unknown, space : the possible value of : ={0/N,1/N, ,N/N}or[0,1].For this specific example, the model comes from physical experiment.
Chapter 1 Statistical Modeling 1.1 Statistical Models Example 1: (Sampling inspection). A lot contains Nproducts with defective rate θ. Take a sample without replacement of nproducts and get xdefective products.
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