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estimating population from hash table fill rate

Apologies if this is the wrong forum, but it looks reasonably close. I have a practical problem to estimate the number of actual entries in a large table, based on the fill level of a hash table. The...

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Deciding how many averages are sufficient

Hi, I am performing the following operations: All vectors have the same length. Step 1. Define a vector of constants X Step 2. Create a vector Z = X + Noise, where Noise is AWGN of N~(, ) Step 3....

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Bayesian conclusion scale with uneven data distribution. Possible?

I have two sets of data distribution between 0 to 100%. I was thinking of using the Bayes theorem of explaining the data distribution. More info on Bayes theorem:...

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Xn~Exponential(.5) -> Xn~Normal. Use Chebychev's inequality

Xn are iid Exponential(.5). After using the central limit theorem, Xn is Normally distributed. Use chebychev's inequality to find out how large n be so that P(|Xn-2| < .01) > .95. I tried working...

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convergence in probability and strong convergence in the discrete case

Show that if you have convergence in probability, then you also have strong convergence in the discrete case. I know that the discrete case means that the sum as i = 0 to n, P(Xi=xi) = 1. I don't know...

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distributions of Markov Chain

Hello!I am very confused with the terms initial distribution,limiting distribution and stationary distribution of a Markov Chain. Is initial distribution the same as limiting distribution? Can someone...

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Ugh...tell me I'm reading this wrong...

Hi Everyone, New here! I had a question around the wording of a problem, as I wrap my head around it... t-distribution problem, and the wording of "significantly" specifically. I've stated the...

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Convergence rate of Bates distribution to Normal distribution

Hello, I am working on an illustration of approximating one distribution with another. Specifically, I am approximating a sample mean of N i.i.d. random variables X_i on a bounded domain [0,1] with a...

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Proving of probability

Hello! I'm new to this site, so I hope this is the right category to post my question. So here's the deal: in class we get almost only theory, very little practice and formulas. Still, we have homework...

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Pseudo-observations

Hi, I need help in understand what pseudo-observations actually are, (what transformation have they taken) and I need to know about the independance. I have calculated an independance test on R, but am...

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Defining a problem with random variables.

I am studying the following problem. Take n random normal distributions each with a common standard deviation of s. Call these d(1), d(2)...d(n). Let the means of these distributions be m(1)...

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