Let (Nt)t≥0 be a Poisson process. Explain what is wrong with the following proof that N3 is a constant. E ((N3)2) = E(N3N3) = E(N3(N6-N3)) = E(N3)E(N6-N3) = E(N3)E(N3) = E(N3)2. Thus, Var(N3) = E((N3)2)-E(N3)2=0, which gives that N3, is a constant with probability 1.

Let (Nt)t≥0 be a Poisson process. Explain what is wrong with the following proof that N3 is a constant. E ((N3)2) = E(N3N3) = E(N3(N6-N3)) = E(N3)E(N6-N3) = E(N3)E(N3) = E(N3)2. Thus, Var(N3) = E((N3)2)-E(N3)2=0, which gives that N3, is a constant with probability 1.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Q3. (a) Define a function g(x) of a random [ 1; if x2X, 0; otherwise variables by g(x)% = Where x, is a real number -o< X, <∞ Show that E [g (X)] = 1-F, (x,)
Q8 True or false ?
(b) Table Q4(b) is generated from the function f(x) = e* – 4x² + B, Table Q4(b): Data generated from function f(x) = e* – 2x² + B 0.5 1 1.5 2 f(x) 1+B 0.6487+B -1.2817+B -4.5183+B -8.6109+B Solve f (1.5) by using 2-point forward difference and 2-point backward difference, and which method gives the highest accuracy in approximating f '(1.5).
16. The resident population P of the District of Columbia (in thousands) from 1995 through 2005 can be modeled by where t is the year, with t = 0 corresponding to 2000. (Source: U.S. Census Bureau) (a) During which year, from 1999 through 2005, was the population the greatest! P = 0.26943 – 2.048/² – 0.73t + 571.9, -1
nent/1508264 TPSS Bookmarks E unom 12/2021) MCCR BLITZ CHECKPOINT #3 EBRAII 28-5 (JA MARION DUNOMES, ID: 12391589) Given that f(x) = -x+ 6 and g(x) = %3D what is the value of f (g(-3))? -12 2/3
Exercise 4.7 Calculate the system entropies where I is the binary erasure channel (BEC), introduced in §4.1, and the input probabilities of 0 and 1 are p and p. Show that this channel satisfies (4.9) and (4.10). H(BA) ≤H(B), H(AB) ≤ H(A), (4.9) (4.10)
10. (a) For the function q(t) = -19t2 + 6lt - 349, find the exact intervals on which q is %3| increasing and on which q is decreasing. State whether q(t) is always concave up or always concave down.
19.lfg(x) =x³ +;x² – 70x + 5, on which of the following intervals is g(x) increasing? (A) (-∞,-10) U (7 ,00) (B) (-∞,-7) U (10 , 00) (C) (-0,10) (D) (-10,7) (E) (-7,10)
please help
Suppose a town's population follows P(x)=1733e0.064xP(x)=1733e0.064x, where PP is the population xx years after 1900. In what year did the town's population reach 21087572108757 citizens? In the year?
.9:18 * 1.1 • If x = -0.8, then [x - 1] = %3D | 1. -2 2. -1 3. -0.8 4. 1 2 O 3 4 * 1.2 The Range of f (x) = v1- x is 1. [-1, 0) 2. (-o, 1] 3. (-00, 0) 4. [0, c0) 1 2 3.