what is the R functions to plot ,on a single figure, the hazard function h(t) for...
what is the R functions to plot ,on a single figure, the hazard function h(t) for Weibull Distribution
for the cases (i) λ = 1, γ = 1, (ii) λ = 1, γ = 3, (iii) λ =1, γ =0.3, respectively. And the same thing for the survival function s(t) in separate figure
Homework Answers
![tesea[1,25,1);t #t be a lifetime 111 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 > l1=1:11 [1] 1 > gi=1g](http://img.homeworklib.com/questions/fc7b3b00-578a-11eb-b4bb-97ba4dc9fc91.png?x-oss-process=image/resize,w_560)
![> r3=13*33***193-1);r3 #Hazard rate for Weibull(13.93) [1] 0.30000000 0.18467166 0.13903892 0.11367874 0.09723940 0.08558849](http://img.homeworklib.com/questions/fd7b52c0-578a-11eb-867e-1d7f57e777a6.png?x-oss-process=image/resize,w_560)
![> s1=exp[-11*Ag1);s1 #s1 is survival function for Weibull(11,1) [1] 3.6787942-01 1.353353e-01 4.978707e-02 1831564e-02 6.7379](http://img.homeworklib.com/questions/ffd471f0-578a-11eb-9876-c1d08cf342e6.png?x-oss-process=image/resize,w_560)
![>3=exp(-13*+^g3);3 #s3 is survival function for Weibull(13.93) [1]0.36787944 0.29195827 0.24897839 0.21965073 0.19776880 0.18](http://img.homeworklib.com/questions/012c2d70-578b-11eb-aa9f-792a4cd69328.png?x-oss-process=image/resize,w_560)
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what is the R functions to plot ,on a single figure, the hazard
function h(t) for...
3. Classifying Life Distributions. Suppose a continuous lifetime T has survival function S(O), hazard function h(i),...
3. Classifying Life Distributions. Suppose a continuous lifetime T has survival function S(O), hazard function h(i), cumulative hazard function (1), and mean residual life m(t). Consider the following properties that I might have: I. h(t) is nondecreasing for 120, called increasing failure rate (IFR). II. HIV/1 is nondefreasing for >0, called increasing failure rate on the average (IFRA). II. ml) Sm(0) for all / 20, called new better than used (NBU). IV. m(1) decreases in 1, called decreasing mean residual...
In matlab please 3. (15 Points) Consider the following function. f(t) = 5e(-31) cos(20) a. Plot...
In matlab please
3. (15 Points) Consider the following function. f(t) = 5e(-31) cos(20) a. Plot the function for t = 0 to 1 b. Analytically calculate the derivative. C. Calculate the derivative using the diff function d. Calculate the derivative using the gradient function e. In a separate figure, plot the derivatives obtained above in a single new figure (not subplot) using (i) solid blue line for part b, (ii) red dots for part c, and (iii) green o's...
In solving for the damped forced circuit 1 oscillations (particular solution) has the form 6. +R ...
In solving for the damped forced circuit 1 oscillations (particular solution) has the form 6. +R q-Vocos(r) + dt C we found the pers istent cos (st where γ -, LC 21 2 Define rso that the amplitude of the response is proportional toT(r)- where we (1-r2)2 +4γ assume γ is a set constant (i) Show that T has a maximum Tmax-T(rmax) if γく1. In such a case find "max and T,nax (ii) Plot in T vs. r for the...
3. [24 pts] For the following piecewise functions f(t), (i) sketch a plot of f(t), (ii)...
3. [24 pts] For the following piecewise functions f(t), (i) sketch a plot of f(t), (ii) write f(t) in terms of the Heaviside step function: H(t). (Chapter 6.3) 1, t1 -1,1St<2 (a) f(t)-〈1,2 t<3 0, 4 St t-1, 1st<2 t-3, 3st <4
Do the following in the program R Suppose a random variable X follows the Rayleigh distribution...
Do
the following in the program R
Suppose a random variable X follows the Rayleigh distribution with probability density function given by f(x) = x/sigma^2 e^, 0 lessthanorequalto x < infinity, 0 < sigma < infinity. The cumulative distribution function is F(x) = 1 - e^, 0 lessthanorequalto x < infinity. The mean and variance of a Rayleigh random variable are. respectively. E(X) = sigma squareroot pi/2 and var(X) = (4 - pi/2) sigma^2. Plot the Rayleigh probability density function...
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...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
#2) A non-repairable component has the following hazard function h)-12 tisimyear h(t)-1+2t tisinyea a) What is the probability that the component will function at least five years? b) What is the pro...
#2) A non-repairable component has the following hazard function h)-12 tisimyear h(t)-1+2t tisinyea a) What is the probability that the component will function at least five years? b) What is the probability that it will be working between the third and sixth years? c) What is the probability that it will be working at most eight years?
#2) A non-repairable component has the following hazard function h)-12 tisimyear h(t)-1+2t tisinyea a) What is the probability that the component will function...
7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at...
7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at 100 units. Derive and plot: i, The total product function q(L) ii. The marginal product function MPL(L). iii. The average product function APL(L). (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short run average cost....
Using Mathematica Consider the vector-valued function r(t)=et cos t i+(sin t)/(t+4) j +t k. a) Plot...
Using Mathematica Consider the vector-valued function r(t)=et cos t i+(sin t)/(t+4) j +t k. a) Plot the curve with t going over the interval [-2, 2]. b) Plot the curve again over the same interval, but this time add the velocity vector in blue at (1, 0, 0) to the graph. c) Plot the curve again over the same interval, along with the blue velocity vector at (1, 0, 0), but this time add the acceleration vector in red at...
3. Classifying Life Distributions. Suppose a continuous lifetime T has survival function S(O), hazard function h(i), cumulative hazard function (1), and mean residual life m(t). Consider the following properties that I might have: I. h(t) is nondecreasing for 120, called increasing failure rate (IFR). II. HIV/1 is nondefreasing for >0, called increasing failure rate on the average (IFRA). II. ml) Sm(0) for all / 20, called new better than used (NBU). IV. m(1) decreases in 1, called decreasing mean residual...
In matlab please
3. (15 Points) Consider the following function. f(t) = 5e(-31) cos(20) a. Plot the function for t = 0 to 1 b. Analytically calculate the derivative. C. Calculate the derivative using the diff function d. Calculate the derivative using the gradient function e. In a separate figure, plot the derivatives obtained above in a single new figure (not subplot) using (i) solid blue line for part b, (ii) red dots for part c, and (iii) green o's...
In solving for the damped forced circuit 1 oscillations (particular solution) has the form 6. +R q-Vocos(r) + dt C we found the pers istent cos (st where γ -, LC 21 2 Define rso that the amplitude of the response is proportional toT(r)- where we (1-r2)2 +4γ assume γ is a set constant (i) Show that T has a maximum Tmax-T(rmax) if γく1. In such a case find "max and T,nax (ii) Plot in T vs. r for the...
3. [24 pts] For the following piecewise functions f(t), (i) sketch a plot of f(t), (ii) write f(t) in terms of the Heaviside step function: H(t). (Chapter 6.3) 1, t1 -1,1St<2 (a) f(t)-〈1,2 t<3 0, 4 St t-1, 1st<2 t-3, 3st <4
Do
the following in the program R
Suppose a random variable X follows the Rayleigh distribution with probability density function given by f(x) = x/sigma^2 e^, 0 lessthanorequalto x < infinity, 0 < sigma < infinity. The cumulative distribution function is F(x) = 1 - e^, 0 lessthanorequalto x < infinity. The mean and variance of a Rayleigh random variable are. respectively. E(X) = sigma squareroot pi/2 and var(X) = (4 - pi/2) sigma^2. Plot the Rayleigh probability density function...
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...
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
#2) A non-repairable component has the following hazard function h)-12 tisimyear h(t)-1+2t tisinyea a) What is the probability that the component will function at least five years? b) What is the probability that it will be working between the third and sixth years? c) What is the probability that it will be working at most eight years?
#2) A non-repairable component has the following hazard function h)-12 tisimyear h(t)-1+2t tisinyea a) What is the probability that the component will function...
7. For the production function q min(K,4L ): (a) Assume that capital K is fixed at 100 units. Derive and plot: i, The total product function q(L) ii. The marginal product function MPL(L). iii. The average product function APL(L). (b) Suppose the price of labour w is $1 and the rental rate r is also $1. Derive and plot all cost functions; that is: i. Short run total cost. ii. Variable cost. iii. Fixed cost. iv. Short run average cost....
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