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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 32,554
Suppose that f:\longrightarrow{\mathbb{R}} is a function such that f(.,y) is constant for almost all y, and f(.,y) is...
Jan18-10 11:13 PM
0 709
It'd be great if anyone can tell me how to work these kinds of function and induction problems. Don't worry, these are...
Sep30-07 10:19 PM
0 2,190
I need help on converting these to the correct logical notation form using only the propositional connectives and the...
Dec8-07 09:03 PM
8 3,504
Hi there! I'm working on a random walk-problem my professor gave me. Given a MC with the following properties:...
Oct14-12 03:26 PM
2 717
This is the QQPlot of a data. What can be inferred from this plot ? (Tested against Normal Distribution) QQPLOT 1 :...
Sep27-12 04:06 AM
2 745
My doubt is that whether we can apply non-linear smoothing to a almost linear data ( without one or 2 discontinuity) ...
Apr6-13 02:53 PM
4 511
Hi i am currently doing a project and I am taking as input a set of X and Y variables. I have implemented linear...
May27-09 12:40 PM
2 1,028
I am starting a project on signal detection theory (cognitive focus), and working with a winbugs expansion in matlab....
Jul1-14 10:00 AM
1 2,676
I understand how using classical or bayesian statistical inference os often very helpful for solving information...
Jul2-14 07:10 PM
1 2,497
Hi, Say F:A->A where A is a metric space and F is onto. I think it should be true that this implies that F is also...
Sep27-09 09:08 PM
7 3,237
Hi everyone, very excited to be here and this my first post. I have a question about data fitting by using least...
Aug5-11 03:52 PM
1 1,472
I know this might be really simple, but I get easily confused. CASE 1. I have a bag with eight marbles, one of...
Oct6-06 07:51 AM
2 1,322
Hi, I would like to solve this version of the unfair coin problem. The coin has a probability p for head and 1-p...
Aug17-09 03:35 AM
2 2,691
Let X1 and Y1 be two random variables. We have Cov(X1,Y1) = 0. Does this extend to any transformation X2 = g(X1) and...
May13-13 10:14 AM
Stephen Tashi
2 432
I have two sets of deterministic numbers, collected in the two vectors: x= and y=. My (determinstic) theory says that...
Nov2-11 11:02 AM
Stephen Tashi
1 966
Let's say we have a cumulative distribution function (cdf) G and random numbers v1 and v2. The definition of strict...
Nov9-11 06:23 PM
3 1,594
I have N random variables (x1,x2,...,xN) following a Dirichlet distribution with parameter vector (1,...,1). That is,...
Apr30-13 04:37 AM
0 379
Let x(1),...,x(N) all be independent uniformally distributed variables defined on (0,1), i.e. (x(1),...,x(N)) -...
May10-13 01:55 AM
5 677
A Binomial distribution has a standard normal limiting distribution, i.e. (X-E)/se(X) -> N(0,1), where X is the sum of...
May22-13 03:27 AM
2 596
is it true that: \partial(A\cup B) = (\partial(A)\cap \mbox{int}(X-B))\cup (\partial(B)\cap \mbox{int}(X-A)) ?...
Sep11-05 10:47 AM
1 4,035
How to define relationship between two sets (mathematics)? Please, let me make an assumption here. Assumption : We...
Mar23-11 12:25 PM
Stephen Tashi
1 2,161
I want to know what is the meaning of percentile. what is the percentile : 23.79 means? Please give me explanation...
Aug19-11 12:26 PM
1 2,685
Hello all, I am deparing me with a problem or a doubt about the calculation of probabilities in one matrix. I...
Mar6-07 08:23 AM
0 1,101
Given a simple random walk X_n started at 1, and stopped the first time it hits zero (so it could be something like...
May9-10 04:55 PM
0 1,228
Given a Natural number K, how many combinations \ of Natural numbers vectors are there, so that \ ? I'm...
Apr11-05 02:08 PM
2 1,068
Is it correct that \ , N denoting the natural numbers? If not, is there another symbol for the left hand side of the...
Sep6-05 08:43 AM
6 3,055
Let's have a look at \left\{ \neg,\equiv\right\}. How could one show that this isn't complete? I've tried finding...
Jun1-07 09:59 AM
2 1,340
First encounter with the term, I'd like some help understanding it. I know there are several approaches, but this one...
Aug19-07 07:08 PM
5 3,745
Here's a stupid question: for a Gaussian process, are these two properties equivalent?
Oct30-09 05:20 AM
2 3,478
This is probably a stupid question, but here goes: based on the covariance function of some (centered, stationary)...
Feb20-10 04:04 PM
SW VandeCarr
16 4,552
c = correlation between the IQs of parents and children s = standard deviation for IQs of the group the parents...
Dec29-10 11:21 AM
10 1,455
Hi folks, I am in the energy industry, and we do linear/multilinear regressions stats. One of the concepts being...
Feb4-11 07:27 PM
1 3,378
How many elements are in a sub1 intersect a sub 2 which equals a null set when a sub 1 =12 and a sub2 = 18
Sep4-05 11:42 AM
1 1,100
Hello everyone, I am trying to understand situations under which Gaussian distribution would apply. For example, I...
Nov25-09 01:09 AM
SW VandeCarr
9 2,729
Hello everyone, I have a couple of questions about the Rice distribution and deriving the moments for the...
Apr19-10 12:49 PM
0 764
Hello everyone, I just started reading "Fundamentals of Statistical Signal processing" by Steven Kay and just got...
Apr22-10 04:34 PM
1 1,388
Hello, Just came across this that: E = 0 the expected value of the product of cos(t)sin(t) is 0. However, I...
May3-10 08:27 AM
1 3,051
Hello everyone, I am trying to understand a paper and am stuck at one place. The statement says something as...
Oct13-10 01:23 PM
SW VandeCarr
1 1,497
Hello everyone, I am having a bit of trouble understanding the metropolis hastings algorithm which can be used to...
Oct14-10 04:47 PM
0 1,015
Hello everyone, I have a (noob!) question about Markov Random Field potential function. So, I am looking at some...
Jun28-11 05:18 PM
0 729

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