ZuoTi.Pro
Question

1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let β > 0, δ > 0. Consider the probability density function x>0 zero otherwise. Find the probability distribution of W-Xc Determine the probability distribution of W by finding the m.g.f. of W, Mw(t) Find the mgf. of w. Mw(t)-E(e, w )-E(ex®). 1: u-substitution:v5 t X i) Hint -substitution:-»5. Hint, 2: Must have t< for the integral to converge . i What is the name of the probability distribution of W? What are its parameters?

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

The pof of X is 0 2 0, w. d w s is Shai e Hy increasin tten e w:)( is a she a : The paf of w x wo dw0,W Be o.w 0 0 o,w So, he est of w is 0,W Tf y Exponential (A), hen pof of y is whene λ>0The m f. of w is t w 6-(p-t)x (0-t)yEponentiaL (A, hen he Myt A. er e So, by he uniqueness prr penty of c an say ha The name of he probabil dishmibuhion of w is exponenHal dishmibution and the parameter I S

0 0
Add a comment
Know the answer?
Add Answer to:
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function...

    1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let β > 0, δ > O. Consider the probability density fx(x) = βδΧ6-1 e-Px®, x>0, zero otherwise. Find the probability distribution of W-X" b) Determine the probability distribution of W by finding the p.d.f. of W, fw(w), using the change-of-variable technique D) Find the p.d.f. of W, w)-x(w ii What is the name of the probability distribution of W? What are its parameters?...

  • 1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function...

    1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let p> 0, δ > 0. Consider the probability density x>0 zero otherwise. Find the probability distribution of w-x6 a) Determine the probability distribution of W by finding the c.d.f. of W, Fw(w). Find the cd.f. of X, Fx(x) = P(X x). “Hint', 1: u-substitution: u "Hint" 2: There is no such thing as a negative cumulative distribution function "Hint" 3: Should be Fx(0)-0,...

  • 1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let...

    1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let β > 0, δ > 0. Consider the probability density function x>0 zero otherwise. Find the probability distribution of W-X a Determine the probability distribution of W by finding the c.d.f. of W, F w(w). i Find the c.d.f. of X, Fx(x) "Hint" 1: u-substitution: u- "Hint" 2: "Hint" 3: Should be FX(0)-0, P(Xs) There is no such thing as a negative cumulative distribution...

  • 1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let...

    1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let β > 0, δ > 0. Consider the probability density function x>0 zero otherwise. Find the probability distribution of W-X b) Determine the probability distribution of W by finding the p.d.f. of W, /w(w). using the change-of-variable technique. Find the pd.f. of W. w(w)d ii) What is the name of the probability distribution of W? What are its parameters?

  • 2- 5. The Weibull distribution has many applications in reliability engineering, survival analysi...

    2- 5. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. Let B>0, 8>0. Consider the probability density function x>0 zero otherwise Recall (Homework #1) V-Χδ has an Exponential(8-T )-Gamma(u-l,e-1 ) distribution. Let X1, . , X/ be a random sample from the above probability distribution. y-ΣΧ.Σν i has a Gamma(u-n, θ- 1 ) distribution. !!! i-l 2. suppose δ is known. Let Xi, X2, , Xn be a random sample from the distribution with...

  • The Pareto probability distribution has many applications in economics, biology, and physics. Let β> 0 and...

    The Pareto probability distribution has many applications in economics, biology, and physics. Let β> 0 and δ> 0 be the population parameters, and let XI, X2, , Xn be a random sample from the distribution with probability density function zero otherwise. Suppose B is known Recall: a method of moments estimator of δ is δ = the maximum likelihood estimator of δ is δ In In X-in β has an Exponential (0--) distribution Suppose S is known Recall Fx(x) =...

  • 4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with...

    4. Let 8 >0. Let X, X2,..., X, be a random sample from the distribution with probability density function S(*;ð) - ma t?e-vor x>0, zero otherwise. Recall: W=vX has Gamma( a -6, 0-ta) distribution. Y=ZVX; = Z W; has a Gamma ( a =6n, = ta) distribution. i=1 E(Xk) - I( 2k+6) 120 ok k>-3. 42 S. A method of moments estimator of 8 is 42.n 8 = h) Suggest a confidence interval for 8 with (1 - 0) 100%...

  • I only need to the solution for the second question. Thanks! Microsoft Word- 410H01dx+ ← →...

    I only need to the solution for the second question. Thanks! Microsoft Word- 410H01dx+ ← → C 目https://connpass2g.illi 602815 dt content rld 3950008 1courses/stat 41 120191 172687/410Hw01.pdf Mieraft Ward-410H 01.dee c Detemne the prabability distribuion of W by finding the m.g.f. of W, M). Hint" 1 Hin : Must have foe the integral to anverge. What is the name of the probability distribution of W? What are its parameters? 2. Let X be a continuous random variable with tbe probability...

  • Question 4 Let X ~ N(4, 02) (a) Use the properties of a Normal distribution to...

    Question 4 Let X ~ N(4, 02) (a) Use the properties of a Normal distribution to compute the following: (i) P[ X = u] (ii) P[X > Ú- 0] (b) Let u = 8.1 and o2 = 7.29 Compute P[X > 13.5] (c) If u = 0 and 0 = 1 (and exp{a} = ea ) then the mgf of W = X2 is: 021-1/2 po 1 s –22 l Mw(t) = (1 – 2t) -1/2 = exp V2 (1–2+)...

  • 2-3. Let ?>0 and ?? R. Let X1,X2, distribution with probability density function , Xn be...

    2-3. Let ?>0 and ?? R. Let X1,X2, distribution with probability density function , Xn be a random sample from the zero otherwise suppose ? is known. ( Homework #8 ): W-X-5 has an Exponential ( 2. Recall --)-Gamma ( -1,0--) distribution. a) Find a sufficient statistic Y-u(X1, X2, , Xn) for ? b) Suggest a confidence interval for ? with (1-?) 100% confidence level. "Flint": Use ?(X,-8) ? w, c) Suppose n-4, ?-2, and X1-215, X2-2.55, X3-210, X4-2.20. i-1...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT