# Linear Models-Theory of Linear Estimation (ISS (Statistical Services) Statistics Paper II (Old Subjective Pattern)): Questions 1 - 1 of 1

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## Question number: 1

» Linear Models » Theory of Linear Estimation » Gauss-Markoff Setup

Appeared in Year: 2014

### Describe in Detail

Define estimability of a linear parametric function in a Gauss Markov model. State and prove a necessary and sufficient condition for estimability.

### Explanation

** Estimability **: The linear parametric function c’β is an estimable function if there exists a vector

a ** R **

^{ n }such that

If X is of full column rank then all linear combinations of β are estimable, since is unique, that is

Suppose we are dealing with the model of estimability. Then a necessary and suff

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