STAT 4201 Midterm: STAT 421 OSU Point Estimation I(Updated)
31 Jan 2019
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A random sample (rs) of size n - observed values of n independent and identically distributed (iid) random variables. In parametric statistics framework, it is assumed that the functional form of the population distribution of x is known, except for the value(s) of a finite number of unknown parameter(s) that fully characterize this distribution, e. g. , X n where one or both the parameters. X poisson where the value of is unknown. Parameter: unknown value for the population distribution"s summary characteristic (e. g. , mean, variance, median etc. ) that will define the distribution, once its values are learned. We say that f belongs to a family of distributions defined by possible values of the parameter(s) in a defined set. Statistical inference: using the values of the observations in the sample, we want to learn about the underlying parameter(s) value(s). The idea is that rejecting this set of values disproves a.
