A subset S of the integers {1, 2, ..., n} is called extraordinary provided that its smallest integer equals its size: min{x : x ∈ S} = |S|. For example, S = {3, 10, 17} is extraordinary. Let gn be the number of extraordinary subsets of {1, 2, ..., n}. Prove that with g_1 =1and g_2 =1. g_n=g_(n−1)+g_(n−2), fo rn≥3

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.