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Set Theory, Logic, Probability, Statistics

- Fundamentals: Set theory, logic and proofs. Probability and statistics
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 31,085
This might be embarrasingly easy or impossible; I've been a computer programmer for too long since my statistics...
Jul5-11 02:40 AM
3 5,731
Let us assume a dynamic system which has vector with 'n' components (which are non-negative integers from 1->n) at...
Jun29-11 09:31 PM
Stephen Tashi
1 1,239
Hi guys, I'm working on a research project that looks at the amount of cosmic rays coming out of a particular...
Jul1-11 09:37 AM
Stephen Tashi
1 1,059
I have a state transition probability matrix and a state probability vector & respectively. Now, I want to...
Jul1-11 09:23 PM
6 2,158
Let's say you have a random sample of 5 values that are drawn from an exponential distribution with a mean of 8. ...
Jul4-11 07:14 PM
6 8,062
In proving :|x|=0\Longrightarrow x=0,the following indirect proof is offered: Let |x|= 0 and suppose x\neq 0...
Jul5-11 04:05 PM
14 2,002
I'm studying for the probability actuarial exam and I came across a problem involving transformations of random...
Jul3-11 09:39 PM
1 2,005
I'd like to know how to prove (or show that it is reasonable) that the probability that a random vector (X, Y) assumes...
Jul4-11 07:40 PM
12 1,832
If all the exams have normal distribution will the average grades to student also be normal distributed? I have...
Jul11-11 08:45 AM
4 1,516
is there a way to explicitly express the chi-squared inverse function? when programming it, I have had to resort to...
Jun29-11 06:53 PM
12 5,120
I'm going through the set theory material in the appendix of Knapp's Basic Algebra. I want to make sure that I...
Jul5-11 04:43 PM
6 2,415
Definition: Let X1,X2,... be a sequence of random variables defined on a sample space S. We say that Xn converges to a...
Jul2-11 12:28 AM
6 1,837
hey guys, i am really confused on is the thing: i have; i=x+(x^2-y)^(1/2) and here x is...
Jul3-11 01:54 PM
4 1,434
Hi everyone, I was wondering if anyone could help me better understand dependent probabilities. I am interested in...
Jun29-11 11:41 PM
Stephen Tashi
3 2,423
Hello experts, Thanks to discussions with Stephen Tashi for getting me this far. See the problem statement in...
Jul1-11 08:36 AM
4 1,487
Hi all, The question is: Given that X follows a geometric distribution, prove that ...
Jul2-11 09:20 PM
2 1,516
If p(x) is a probability distribution on the real number line, the "wrapped" distribution around the unit circle is:...
Jul3-11 09:27 PM
1 1,536
Hi everyone! Here's my problem of the day: Let's take a box containing 3 identical (but distinguishable)...
Jul3-11 02:34 PM
1 834
Let X be a non-empty set, and let S contain all countable subsets of X. Partially order S by inclusion. Let C be a...
Jul11-11 09:19 AM
Josh Swanson
11 4,082
Today my grandfather told me a story, which he insists is true and which I believe he believes is true, which seems to...
Jul8-11 01:37 PM
6 2,177
My goal here is to at least approximately calculate the probability density function (PDF) given the moment generating...
Jul7-11 07:28 PM
6 5,501
The following problem came up in my work. You have a tube, open at the top. Raindrops fall into the mouth of the...
Jul9-11 08:17 AM
9 1,899
I have a discrete set of data. I'd like to visualize it probabilistically. Unfortunately, I focused in Num Methods in...
Jul6-11 11:14 AM
2 1,525
Hi, Why there is a half factor in the definition of the correlation of complex random variables, like: ...
Jul6-11 01:14 PM
4 2,739
Hi, it will be a very silly question, excuse me plz. I am wondering whether 3/(sqrt(2pi delta^2))...
Jul11-11 08:07 AM
4 2,327
Dear all, let's say I want to know the elasticity constant of a spring (k), so I measure several times different...
Jul8-11 01:10 PM
8 2,389
Hi there! I'm trying to prove that every Dedekind cut A has an additive inverse -A such that A + (-A)=0*. We've...
Jul7-11 08:51 AM
1 1,612
I have 6 years of data which has both a 3-month and a 12-month seasonality, it exhibits a trend and is very noisy. ...
Jul7-11 12:17 AM
0 688
Hi, everybody Let n_1 ~ Poisson ( \lambda_1 ) and n_2 ~ Poisson (\lambda_2). Now define n=n_1-n_2 . We...
Jul8-11 03:47 AM
5 1,932
Hello, I have a question regarding the likelihood ratio order of two distributions: Is there a requirement that...
Jul7-11 05:16 PM
0 845
Theorem: If "θ hat" is an unbiased estimator for θ AND Var(θ hat)->0 as n->∞, then it is a consistent estimator of θ....
Jul8-11 04:28 PM
4 2,227
Linear Spaces Norms and inner products Holder’s inequality Minkowski’s inequality Normed linear spaces...
Jul8-11 10:00 AM
1 1,029
suppose i have 2 bayesian networks.... a->b and c->d ie b depends on a and d depends on b now...
Jul10-11 05:41 PM
SW VandeCarr
3 1,108
The ABC manufacturing company purchases a certain part from two suppliers (A supplier & B supplier). The parts...
Jul9-11 12:23 PM
8 1,565
Olbers' paradox states that if the universe is infinite, static and homogeneous then why is the night sky dark. Of...
Jul9-11 08:35 PM
3 1,794
Hello y'all, If I have n data points (xi, yi) each with error bars in both x and y (xi_err, yi_err), should I use...
Jul9-11 04:52 PM
6 2,845
I believe that it is correct, and it concisely represents a concept I have never understood. It seems obvious to me...
Jul9-11 07:40 PM
3 1,175
In a box with 80 tickets, 10 people buy 10 tickets each. If there are 4 winning tickets drawn at random find the...
Jul10-11 05:40 AM
1 1,053
Hi there, I am thinking a question of finding the expectation of duplicate numbers (how many time any pair could be...
Jul10-11 07:35 PM
1 783
Guys, I'm taking real analysis starting with open, close, compact sets, and neighborhoods. Now I'm addict to rely...
Jul11-11 10:58 AM
2 1,361

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