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Please solve the following question by urslef with steps, thank you! It's about Fisher LSD(limiting spectral distribution) The Fisher limiting spectral distribution (LSD), denoted F51.

Please solve the following question by urslef with steps, thank you! It's about Fisher LSD(limiting spectral distribution)

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The Fisher limiting spectral distribution (LSD), denoted F51. has the density function 13:00:: iq/(b x)(x a), a g x S b, 21rx(s + tx) where ._ ._ (1 h)? ._ L_ (1 + h)2 L_ ._ 1:2 a ._ a[s. t) . (1 _ 02, b ._ b(s, t) . (1 _ I}? h . h(s. t) ._ (s + r st} . Question 1 [20 marks] Suppose we had two independent pedimensional vector samples K 2: {x1 ..... Km} and V :2 {3'1 ..... 35,2} where p 1: n2. We assume that each sample comes from a (possiny different} population distribution with Lid. components and finite second moment. [3] {a} How is the Fisher LSD related to the two vector samples X and 'tr'? What is the relationship between the two parameters (5, t) of F5,t and the three values (p, n1. n2} describing the dimensionality and sizes of X and 'ir

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