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Set Theory, Logic, Probability, Statistics

- Fundamentals: Set theory, logic and proofs. Probability and statistics
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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 27,685
Our task is to determine if P(-c \le X \le c) has a minimum variance unbiased estimator for a sample from a...
T 01:21 AM
Stephen Tashi
1 66
Hi there. I would like to ask you one question about variance of estimator. Suppose that Y_i=βX_i+ε_i and β...
Y 06:42 PM
1 70
I've been wondering about a simple question that I can't just google and get the answer to. Usually when we calculate...
Y 03:41 PM
3 158
Hello guys, I posted this question in the classical mechanics forum (thinking stochastic mechanics falls into the...
Y 01:05 PM
9 171
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I've been trying to think of the grammatically correct way to translate A\cupB and A\capB. So, let's say A is the...
Apr22-14 07:55 PM
15 270
This is from a text on mathematical logic. The theorem to be proven (specialization): If Δ \vdash \forallvP, then Δ...
Apr22-14 07:25 PM
3 108
Are set operations on a set ##X## defined as operations on ##2^X##? In other words a binary operation on ##X## is an...
Apr22-14 06:56 PM
4 136
You are selling apples from a stand at the market. You are making a profit to comfortably cover your costs and...
Apr22-14 10:04 AM
The Investor
5 216
Hello, When doing a weighted least squares fit of a model to data, I want to examine the residuals to see if...
Apr21-14 08:18 AM
2 152
Hallo, I'm trying to compare the distance between two distributions that I got from a Kernel smoothing density...
Apr20-14 10:46 AM
Stephen Tashi
1 109
Q: How do you find the phase between an input and output signal? These signals are swept-sin (chirp:...
Apr19-14 03:54 PM
0 232
The well ordering theorem states that every non-empty set has a least element for some ordering (<). This means that...
Apr17-14 08:23 PM
3 250
I have roughly 80 test results from different samples, each result set is a list of concentrations of various chemical...
Apr17-14 11:22 AM
Stephen Tashi
3 194
Hello, it is claimed that the so called G-Test can be used as a replacement for the well-known Chi-squared test....
Apr16-14 01:05 AM
2 174
The scores X1 and X2 in papers 1 and 2 of an examination are normally distributed with means 24.3 and 31.2...
Apr15-14 11:11 PM
8 164
Hello everyone, I am an aspiring math teacher taking a workshop type class and in two weeks my group will be...
Apr15-14 10:13 PM
2 215
maybe this is too basic question but it is not so clear for me. when we refer to a random experiment, can a...
Apr15-14 09:39 PM
23 552
Definition of maximal, greatest, minimal and least elements of a set: ...
Apr15-14 01:01 PM
1 143
Hello, it is well-known that the Chi-square test between an observed distribution O and an expected distribution E...
Apr15-14 10:35 AM
2 159
Is the law of total probability a theorem or an axiom?
Apr14-14 01:32 PM
3 181
Hello, I have a 16x16 contingency table, and I would like to perform a test in order to reject the hypothesis of...
Apr14-14 07:05 AM
6 232
Let (A,\mathcal A), (B,\mathcal B) be measurable spaces. Let p be a probability measure on (A,\mathcal A), and let...
Apr13-14 12:07 PM
0 172
Hi all. I'm having trouble understanding the cartesian product of a (possible infinite) family of sets. Lets say...
Apr12-14 12:24 PM
Stephen Tashi
5 255
Iím working on ways to try and assess if data selection methods are capable of isolating accurate results (from a...
Apr11-14 02:26 AM
22 662
I've been learning Ito calculus and it seems so underdeveloped. What's new? What are the open problems? Who's working...
Apr11-14 02:12 AM
Simon Bridge
3 215
I am self-studying an oldish text on introductory logic by Copi. The text lists some criteria by which arguments by...
Apr10-14 04:41 PM
Stephen Tashi
3 176
There had been a case in the UK where a woman's two babies died one after the other. Then some apparent statistician...
Apr10-14 04:10 PM
Stephen Tashi
3 183
I have several data points with error bars, and these error bars are different sizes for each of the data points. I'd...
Apr10-14 04:08 PM
10 258
I'm reading about countable and uncountable sets, I found the following statement: "The set of the functions from...
Apr10-14 03:41 PM
7 211
Suppose we have a function ##F:\mathbb{R}_+\to\mathbb{R}_+## such that ##\frac{F(y)}{y}## is decreasing. Let ##x##...
Apr10-14 01:48 PM
3 179
Relevant Information A language is a set of strings over an alphabet A string is a finite set of characters from an...
Apr10-14 03:21 AM
Stephen Tashi
5 240
Hi guys, I have run multiple simulations on networks that are all slightly perturbed from each other. They produce...
Apr9-14 11:45 AM
Stephen Tashi
11 336
Basically, The Ornstein-Uhlenbeck (OU) process (and its time-integral) decribes the velocity of a brownian particle....
Apr8-14 05:05 PM
5 329
So I am working with a Hidden Markov Model with continuous observation, and something has been bothering me that I am...
Apr8-14 09:33 AM
2 219
A card game involves dealing 3 types of cards to players. There are 6 type A cards, 9 type B cards and 6 type C cards....
Apr8-14 09:24 AM
1 206
Hi all. I need to prove or disprove if process Y_n=1/2*X_n+1/4*X_{n-1}+1/8*X_{n-2} are stricly stationary. X_n,n\in R...
Apr7-14 04:14 PM
1 172
Hello All, I'm building a HMM for some data where there are two different time delays. Specifically, I collect data...
Apr5-14 05:32 PM
2 171
I'm having a little trouble with the proof that the expected value of x_i is \bar{X} What I have is ...
Apr5-14 03:04 PM
3 201
Whyis it easier to disprove something than to prove something? Why can you have more certainty of something being...
Apr5-14 10:41 AM
4 266

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