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In R, the survival function (SDF) of the Gompertz distribution can be computed using the pgompertz function from the fitdistrplus or stats package. The survival function is defined as ( S(t) = e^{-\beta (e^{\alpha t} - 1)} ), where ( \alpha ) and ( \beta ) are parameters of the distribution. You can calculate it by subtracting the cumulative distribution function (CDF) from 1, like so: 1 - pgompertz(t, shape = alpha, scale = beta). Make sure to install and load the required package before using these functions.

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3mo ago

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What does sdf stand for?

5 dollar love me long time?


How many hundreds are there in hundred thousand?

There are 1000 100s in 100,000


What is hyper-geometic probability?

The hyper-geometric distribution is a discrete probability distribution which is similar (in some respects) to the binomial distribution. Suppose you have a population of N which contains R successes. The Binomial describes the probability of r successes in n draws out on N with replacement.However, in many situations the draw is not replaced. In this case you get the hyper-geometric distribution.The function is given by:Prob(r successes in n draws out of N) = RCr/[N-RCn-r * NCn]With the binomial distribution the probability of success remains constant (=R/N) throughout. With the hypergeometric, the numerator for success reduces by one after each successful outcome whereas the denominator reduces by one whatever the outcome.


How do you know x bar and R charts follow normal distribution?

Central Limit Theorem


Why is it said that poisson distribution is a limiting case of binomial distribution?

This browser is totally bloody useless for mathematical display but...The probability function of the binomial distribution is P(X = r) = (nCr)*p^r*(1-p)^(n-r) where nCr =n!/[r!(n-r)!]Let n -> infinity while np = L, a constant, so that p = L/nthenP(X = r) = lim as n -> infinity of n*(n-1)*...*(n-k+1)/r! * (L/n)^r * (1 - L/n)^(n-r)= lim as n -> infinity of {n^r - O[(n)^(k-1)]}/r! * (L^r/n^r) * (1 - L/n)^(n-r)= lim as n -> infinity of 1/r! * (L^r) * (1 - L/n)^(n-r) (cancelling out n^r and removing O(n)^(r-1) as being insignificantly smaller than the denominator, n^r)= lim as n -> infinity of (L^r) / r! * (1 - L/n)^(n-r)Now lim n -> infinity of (1 - L/n)^n = e^(-L)and lim n -> infinity of (1 - L/n)^r = lim (1 - 0)^r = 1lim as n -> infinity of (1 - L/n)^(n-r) = e^(-L)So P(X = r) = L^r * e^(-L)/r! which is the probability function of the Poisson distribution with parameter L.