MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Hi! I need help with (d)

1. let X1,..., Xn be i.i.d. random variables with distribution N(u, o?), with both u and o? unknown. (a). Show that the MLES of u and o? are E(X; – X)? i=1 ÎMLE = X MLE n (b). Show that îûMLE is an unbiased estimator of mean, and derive its sampling distribution. (c). Show that ÔRLE is a biased estimator of variance. (d). If S2: E (X;-X)² show u^/s is tn-1 distribution. п-1 Hint: (n – 1)S = (n – 2)S-, + ("1) (X, – Xp-1)² п—1 In is independent of S
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Transcribed Image Text:1. let X1,..., Xn be i.i.d. random variables with distribution N(u, o?), with both u and o? unknown. (a). Show that the MLES of u and o? are E(X; – X)? i=1 ÎMLE = X MLE n (b). Show that îûMLE is an unbiased estimator of mean, and derive its sampling distribution. (c). Show that ÔRLE is a biased estimator of variance. (d). If S2: E (X;-X)² show u^/s is tn-1 distribution. п-1 Hint: (n – 1)S = (n – 2)S-, + ("1) (X, – Xp-1)² п—1 In is independent of S
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