[R] R simulations
Greg.Snow at imail.org
Thu Dec 4 18:17:49 CET 2008
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Gregory (Greg) L. Snow Ph.D.
Statistical Data Center
greg.snow at imail.org
> -----Original Message-----
> From: r-help-bounces at r-project.org [mailto:r-help-bounces at r-
> project.org] On Behalf Of João Cruz
> Sent: Thursday, December 04, 2008 6:33 AM
> To: r-help at r-project.org
> Subject: [R] R simulations
> I need help with these R simulations
> The generation of pseudo-random numbers with uniform distribution [0.1]
> can be done through a method called Congruencial Committee, which
> the use of a recursive relationship of the type:
> xi +1 = (a.xi + c) mod m
> being a, c, and the positive integers m, c <m.
> Discuss in light of possible values of a, c, my values seed x0
> the behavior of the generator in order to obtain sequences
> evenly distributed with cycles of large dimensions.
> Tip: Write a program in R to implement the generator and
> thus obtain different sequences depending on the values of a, c, d.
> Write a program to deploy the generator
> xi +1 = (25173 xi + 13,849) 65536 mod
> and considering initial value x0 = 10000
> obtain the
> first 10 values generated
> Develop a program for simulation to estimate the probability of exit
> 1,2,3,4,5,6 each of the sides in the launch of a non-addict.
> Then obtain and comment on the likelihood obtained considering the
> simulation of 100, 1,000, 10,000 and 100,000 entries. Represents
> Get an algorithm and implement in order to generate variables
> Random exponential function whose density is f (x) = lambda.e ^ [(-
> lambda) x]. Consider
> the case where lambda = 1 and get a list of 10 values generated.
> Tip: Use the method of generating investment and the R runif.
> Let f (x) = 3x a density function of a continuous random variable
> X with area defined in range [0, 2]. Apply the method of investment and
> describe an algorithm to generate variables
> random function of density. Implement the algorithm in the U.S. and
> proceed to the generation of a sample of
> Size 100. Estimate addition, the quantiles 2%, 10%, 25%, 50%, 90%, 95%
> and 99% and compare them
> with the theoretical quantiles.
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