• (Convex set, segment) A subset A of a vector space X is said to be convex if x, y e A implies M={z € X|z = ax +(1-a)y, 0sas1}c A. M is called a closed segment with boundary points x and y; any other ze M is called an interior point of M. Show that the closed unit ball B(0; 1) = {x e X| ||S1} in a normed space X is convex.

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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.