Question: Wright-Fisher model) Consider a model of a population with constant size N and types E = {1,2}. Let Xn be the number of type 1

Wright-Fisher model) Consider a model of a population with constant size N and types E = {1,2}. Let Xn be the number of type 1 individuals at time n. The evolution is described as follows: the distribution of Xn+1 is Binomial(N, k N ) conditioned on the event Xn = k, k {0,1,...,N}. (i) Write down the transition matrix of the Markov chain X0,X1, ... (ii) Is this Markov chain irreducible? Does it have stationary distributions?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The Purple Company This project will give you an opportunity to apply your knowledge of accounting principles and procedures to a corporation. You will handle the accounting work of The Purple...

Wright-Fisher model) Consider a model of a population with constant size N and types E = {1,2}. Let Xn be the number of type 1 individuals at time n. The evolution is described as follows: the...

I eed help answering the following question. From the reading give a brief summary about each topic. How does the reading discuss operational finance and budgeting? INTRODUCTION To manage...

Have a C compiler which is ANSI conforming in all respects except that it has no facility for the definition, declaration or use of standard C structures. Outline a set of routines written in this...

Wright-Fisher model Consider N haploid individuals, each carrying 1 copy of a specic genetic locus (a location of interest in the genome]. Each individual (= gene) can be of two types (= alleles), A...

Hello, you already did chapter 1 and 2 of my MASTERS Thesis already for me. (See attached) So normally you know masters thesis consist of 5 chapters right ??..... But in this case my thesis will be 4...

Miller-Rabin test to check whether a number N is composite. This will involve computing a N1 mod N for some value of a. [10 marks] Carry out the steps for N = 65 and a = 1, 2, 8 and 12. on what each...

Help in solving this problem.k 6. (10) Consider the discrete time monetary-search model we saw in class. As in the baseline model, in the day time trade takes place in a decentralized market...

I have attached the discussion board 6 questions,scenario. and lectures for yourreview and response. I will submit a students questions for a response when I receive one. Thank You MKT500 Discussion...

Hi Erylee88, I would like to utilize your service again. Same format different questions. Please find attached document for your review. Let me know. Thank you, Sam...

Explain how to derive a sequence of transformations to achieve the overall effect of performing a 2D rotation about an arbitrary point. Discuss the problems of providing tractable models of...

Prove that n +3 = succ c(succ(succ(n))) for any n E N

Each year various bodies give corporate governance awards. The Australasian Reporting Awards (Inc.), an independent not-for-profit organisation makes annual awards and there is a governance reporting...

The generally accepted accounting principle of matching requires that:Question 8 Select one: 1 . accounting adjustments be made at least quarterly . 2 . balance sheet accounts and income statement...

Find the mean radiation power of an electron performing harmonic oscillations with amplitude a = 0.10 nm and frequency w = 6.5 1014 s -1.

A rectangular block, with face lengths a = 35 cm and b = 45cm, is to be suspended on a thin horizontal rod running through a narrow hole in the block. The block is then to be set swinging about the...

Find the radiation power developed by a non-relativistic particle with charge e and mass m, moving along a circular orbit of radius R in the field of a stationary point charge q.

Suppose that you are a colour chemist and had been asked to intensify the colour of a dye without changing the type of compound, and that the dye in question was a polyene. Would you choose to...

Knowing that the coefficient of static friction is 0.25 between the rope and the horizontal pipe and 0.20 between the rope and the vertical pipe determine the range of values of P for which...

Question 7 . Given the following simple maze, convert the maze into a graph. ( 5 points ) Question 8 . Implement depth first search in the maze function in homework 1 . py . ( 2 0 points ) Question 9...

7. Imagine yourself in a future situation that you know you do not thrive in. Try to bring with you that feeling of satisfaction from task 6 in the future uncomfortable situation. a. Highlight three...

1. Maintain my own perspective and my opinions

2. See things from the other persons perspective (1 is oriented towards an inner source of inspiration, while 2 is oriented towards an outer source of motivation). d. Reflection style: When I really...