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Set Theory, Logic, Probability, Statistics Forum

Join experts in discussion on Set Theory, Logic, Probability, Statistics topics. Fundamentals in Set theory, logic and proofs. Probability and statistics also. Homework help is available.

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Does Convergence in Distribution Guarantee Probability Equality for Events?

May 31, 2011 · Replies 3 · May 31, 2011

Replies: 3

Views: 2K

Algebraic sum of continuous random variable probabilities

May 27, 2011 · Replies 12 · May 31, 2011

Replies: 12

Views: 5K

Dixon Statistical Test: Deriving Density Function

May 30, 2011 · Replies 1 · May 31, 2011

Replies: 1

Views: 2K

What is the meaning of the weird symbol in 'Mathematical Logic'?

May 30, 2011 · Replies 8 · May 30, 2011

Replies: 8

Views: 4K

Do Indicator Functions Require Independence of Variables?

May 29, 2011 · Replies 2 · May 29, 2011

Replies: 2

Views: 2K

What Is the Probability That Player 1 with More Coins Wins in a Coin Toss?

May 25, 2011 · Replies 9 · May 29, 2011

Replies: 9

Views: 4K

How important is a solid understanding of Logic

May 27, 2011 · Replies 2 · May 28, 2011

Replies: 2

Views: 4K

How Do You Calculate E(XY) for Dependent Variables with Given Observations?

May 15, 2011 · Replies 3 · May 27, 2011

Replies: 3

Views: 12K

Trivariate CDF, solving for variable within CDF itself?

May 23, 2011 · Replies 9 · May 27, 2011

Replies: 9

Views: 3K

Axiom of Choice: finite sets to infinite sets

May 7, 2011 · Replies 11 · May 27, 2011

Replies: 11

Views: 6K

Conditional expectation of exponential random variable

May 25, 2011 · Replies 3 · May 26, 2011

Replies: 3

Views: 7K

Texas Hold'em: Probability of Full House

May 24, 2011 · Replies 3 · May 25, 2011

Replies: 3

Views: 3K

Probability of Binomial Variable ≥ Another Binomial Variable

May 23, 2011 · Replies 4 · May 24, 2011

Replies: 4

Views: 6K

What is the slowdown of a universal circuit compared to a Turing machine?

May 18, 2011 · Replies 1 · May 24, 2011

Replies: 1

Views: 2K

Constructing proofs of denumerable sets

Feb 17, 2009 · Replies 1 · May 24, 2011

Replies: 1

Views: 3K

What is the best introductory book on probability?

May 24, 2011 · Replies 1 · May 24, 2011

Replies: 1

Views: 2K

Solving a Probability Problem: Get Help Here

May 24, 2011 · Replies 1 · May 24, 2011

Replies: 1

Views: 2K

Calculating percentile ranks of a Gaussian distribution

May 23, 2011 · Replies 3 · May 23, 2011

Replies: 3

Views: 4K

A question about the definition of 'set'

Apr 5, 2011 · Replies 52 · May 23, 2011

2

Replies: 52

Views: 10K

Understanding Ordered Fields: A Beginner's Guide

May 17, 2011 · Replies 8 · May 23, 2011

Replies: 8

Views: 4K

How to Scale a Pareto Distribution Between 0 and 1?

May 21, 2011 · Replies 3 · May 22, 2011

Replies: 3

Views: 4K

What the Tortoise Said to Achilles

Nov 19, 2010 · Replies 5 · May 22, 2011

Replies: 5

Views: 3K

Good book for Gödel's incompleteness theorems

May 21, 2011 · Replies 1 · May 22, 2011

Replies: 1

Views: 3K

Fisher matrix for multivariate normal distribution

Mar 17, 2011 · Replies 4 · May 20, 2011

Replies: 4

Views: 13K

Constructing circuit from Boolean expression

May 18, 2011 · Replies 3 · May 18, 2011

Replies: 3

Views: 4K

Correct Notation for Individual Ratios with Minimum Value | Help and Explanation

May 18, 2011 · Replies 1 · May 18, 2011

Replies: 1

Views: 2K

Proving Nothing Contains Everything: Set Theory and Russell's Paradox

Oct 10, 2008 · Replies 31 · May 18, 2011

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Replies: 31

Views: 10K

Understanding Probability Spaces: An Example Using Double Coin Tosses

May 17, 2011 · Replies 8 · May 18, 2011

Replies: 8

Views: 4K

One issue about Kuratowski definition of an ordered pair.

Apr 25, 2011 · Replies 4 · May 17, 2011

Replies: 4

Views: 4K

How do you think about probability theory?

May 17, 2011 · Replies 2 · May 17, 2011

Replies: 2

Views: 2K

More questions about Relations

May 8, 2011 · Replies 6 · May 17, 2011

Replies: 6

Views: 3K

Why do some propositions defy logical proof?

Apr 30, 2011 · Replies 15 · May 17, 2011

Replies: 15

Views: 5K

Is This Equation a Valid Definition for Set A?

Apr 20, 2011 · Replies 3 · May 17, 2011

Replies: 3

Views: 2K

Squaring uniform/normal distribution and expectation

May 17, 2011 · Replies 1 · May 17, 2011

Replies: 1

Views: 28K

Power and binomial distribution

May 15, 2011 · Replies 2 · May 16, 2011

Replies: 2

Views: 3K

How many ways can you pick 5 cards consiting of 3 kings and 2 queens be drawn?

May 15, 2011 · Replies 2 · May 15, 2011

Replies: 2

Views: 3K

Could anyone explain to me that why:let u=E[X]. then

May 15, 2011 · Replies 3 · May 15, 2011

Replies: 3

Views: 2K

Lottery probabilty - graph problem

May 13, 2011 · Replies 5 · May 15, 2011

Replies: 5

Views: 4K

Analyzing a Blackjack Betting System

May 13, 2011 · Replies 5 · May 14, 2011

Replies: 5

Views: 11K

Why are only non-commutative groups called non-abelean or is this wrong?

May 13, 2011 · Replies 6 · May 14, 2011

Replies: 6

Views: 3K

Binary Operations: Addition & Subtraction

May 13, 2011 · Replies 12 · May 14, 2011

Replies: 12

Views: 4K

Is an algebraic structure a set?

May 13, 2011 · Replies 21 · May 14, 2011

Replies: 21

Views: 4K

Help Needed: Squaring a Matrix - Any Advice Appreciated!

May 13, 2011 · Replies 6 · May 13, 2011

Replies: 6

Views: 2K

Axioms of Probability: Deriving P(A∪B) = P(A) + P(B) - P(A∩B)

May 11, 2011 · Replies 13 · May 13, 2011

Replies: 13

Views: 5K

What Are the Odds of Top 8 AFL Teams Not Playing Each Other?

May 12, 2011 · Replies 7 · May 13, 2011

Replies: 7

Views: 3K

Probability Distribution of Random Variable X from a Double Dice Roll Experiment

May 12, 2011 · Replies 3 · May 12, 2011

Replies: 3

Views: 5K

Prob something occurs given something else occurs

May 11, 2011 · Replies 1 · May 12, 2011

Replies: 1

Views: 2K

Notation for Probability Distribution of Two Dice Rolls

May 12, 2011 · Replies 4 · May 12, 2011

Replies: 4

Views: 2K

When does my corner shop become statistically relevent?

May 11, 2011 · Replies 1 · May 12, 2011

Replies: 1

Views: 2K

Number of points on the plane vs. number of points on the line

May 10, 2011 · Replies 13 · May 11, 2011

Replies: 13

Views: 7K

Infinitely recursive sets that don't contradict ZF Axiom of Regularity

May 10, 2011 · Replies 7 · May 11, 2011

Replies: 7

Views: 4K

Probability Mass Function and Marginal Probaility

May 10, 2011 · Replies 10 · May 11, 2011

Replies: 10

Views: 4K

(for all x, Px) implies (there exists some x, Px)?

Feb 12, 2005 · Replies 6 · May 11, 2011

Replies: 6

Views: 19K

Probability over an interval in a Normal Distribution?

May 10, 2011 · Replies 1 · May 10, 2011

Replies: 1

Views: 3K

How to deal with randomly selected people who chose not to take a survey?

May 8, 2011 · Replies 1 · May 10, 2011

Replies: 1

Views: 2K

What Is the PDF of a Circularly Symmetric Complex Gaussian Vector?

May 7, 2011 · Replies 8 · May 10, 2011

Replies: 8

Views: 9K

Calculating Standard Deviation for U(-1,1) Distribution

May 8, 2011 · Replies 2 · May 9, 2011

Replies: 2

Views: 3K

Give an example to show that if not assuming independence of

May 8, 2011 · Replies 2 · May 9, 2011

Replies: 2

Views: 2K

A simple baysian question on likelihood

May 6, 2011 · Replies 2 · May 9, 2011

Replies: 2

Views: 2K

Probability of throwing balls into bins

Apr 23, 2011 · Replies 28 · May 8, 2011

Replies: 28

Views: 14K

Obtaining Polynomials: Probability & Ways

May 4, 2011 · Replies 1 · May 8, 2011

Replies: 1

Views: 2K

How Do You Solve This Moving Average Representation Problem in Time Series?

May 7, 2011 · Replies 1 · May 7, 2011

Replies: 1

Views: 2K

Comparing two sets of data: multiple time points

May 7, 2011 · Replies 1 · May 7, 2011

Replies: 1

Views: 5K

Probability of player winning a tennis match

Apr 22, 2011 · Replies 9 · May 7, 2011

Replies: 9

Views: 10K

Sorry, I am not sure what you are asking. Could you please clarify?

May 6, 2011 · Replies 4 · May 7, 2011

Replies: 4

Views: 2K

Confidence integrals when n is small

May 6, 2011 · Replies 4 · May 7, 2011

Replies: 4

Views: 3K

How to Prove the Sum of Exponential Distributions is Erlang?

May 2, 2011 · Replies 4 · May 6, 2011

Replies: 4

Views: 7K

Notation for Maps between Topological Spaces

May 6, 2011 · Replies 2 · May 6, 2011

Replies: 2

Views: 3K

Cardinality of Natural & Positive Even Numbers

May 5, 2011 · Replies 1 · May 5, 2011

Replies: 1

Views: 2K

Normal Set Paradox: Confusion & Clarity

Jun 30, 2005 · Replies 10 · May 5, 2011

Replies: 10

Views: 5K

Computing a permuation from its number

May 4, 2011 · Replies 4 · May 5, 2011

Replies: 4

Views: 2K

How to incorporate evidence into parameters of a Bayesian network?

Apr 28, 2011 · Replies 3 · May 5, 2011

Replies: 3

Views: 3K

Simulating a distribution in R?

Apr 21, 2011 · Replies 8 · May 4, 2011

Replies: 8

Views: 4K

Statistics and Probability Education

May 3, 2011 · Replies 3 · May 4, 2011

Replies: 3

Views: 4K

Sample circle area following a distribution

May 2, 2011 · Replies 9 · May 4, 2011

Replies: 9

Views: 3K

Statistics Notation: Mean, Variance & Normal Distribution

Apr 29, 2011 · Replies 4 · May 2, 2011

Replies: 4

Views: 3K

Negative binomail distribution and its variance

Apr 21, 2011 · Replies 2 · May 2, 2011

Replies: 2

Views: 3K

What is the Inverse CDF of Wrapped Cauchy Distribution?

Apr 28, 2011 · Replies 1 · May 2, 2011

Replies: 1

Views: 3K

Explaining a coin toss to a friend problem

Apr 28, 2011 · Replies 3 · May 1, 2011

Replies: 3

Views: 2K

Probability of a random number - seems impossible

Apr 28, 2011 · Replies 2 · May 1, 2011

Replies: 2

Views: 3K

Does the Central Limit Theorem Mean Sample Means Form a Normal Distribution?

Apr 29, 2011 · Replies 3 · May 1, 2011

Replies: 3

Views: 3K

When two hypotheses agree, what evidence does it give?

May 1, 2011 · Replies 1 · May 1, 2011

Replies: 1

Views: 2K

Standard deviation of a dice roll?

Apr 26, 2011 · Replies 5 · Apr 29, 2011

Replies: 5

Views: 11K

Fourth Moment in Terms of Correlations

Apr 26, 2011 · Replies 1 · Apr 29, 2011

Replies: 1

Views: 3K

What Are the Key Questions in Understanding Structures in Logic?

Apr 24, 2011 · Replies 7 · Apr 28, 2011

Replies: 7

Views: 3K

Marginal PDF Bounds: Calculating Integration Limits

Apr 27, 2011 · Replies 1 · Apr 28, 2011

Replies: 1

Views: 3K

Explain Axiom of Choice in Simple Terms

Apr 19, 2011 · Replies 11 · Apr 26, 2011

Replies: 11

Views: 5K

Confused about the intuitive explanation of degrees of freedom

Apr 22, 2011 · Replies 6 · Apr 25, 2011

Replies: 6

Views: 7K

Set Theory Proof(Using Identities)

Apr 13, 2011 · Replies 9 · Apr 24, 2011

Replies: 9

Views: 8K

Disproving the Statement: A Contradiction in Set Theory | Proof Help

Apr 13, 2011 · Replies 2 · Apr 23, 2011

Replies: 2

Views: 3K

Average amount of die rolls to roll a specific number

Apr 19, 2011 · Replies 4 · Apr 22, 2011

Replies: 4

Views: 9K

Information loss as a grid is coarsened

Apr 21, 2011 · Replies 3 · Apr 22, 2011

Replies: 3

Views: 2K

Trend Estimation: Analyzing Data to Determine Positive/Negative Trend

Apr 14, 2011 · Replies 6 · Apr 21, 2011

Replies: 6

Views: 4K

Mean of Sum of IID Random Variables

Apr 19, 2011 · Replies 2 · Apr 20, 2011

Replies: 2

Views: 5K

Ways to produce specific value out of limited set

Apr 19, 2011 · Replies 3 · Apr 20, 2011

Replies: 3

Views: 2K

Understanding the Difference Between P (A, B) and P (B, A)

Apr 1, 2011 · Replies 3 · Apr 19, 2011

Replies: 3

Views: 3K

Prove Set of Real Numbers Unbounded: Tips & Examples

Apr 18, 2011 · Replies 7 · Apr 18, 2011

Replies: 7

Views: 3K

Asymptotica behaviour of an estimator

Apr 17, 2011 · Replies 8 · Apr 18, 2011

Replies: 8

Views: 2K

Difference in probability and statistics?

May 4, 2005 · Replies 6 · Apr 18, 2011

Replies: 6

Views: 11K

Random guesses v the same answer every time

Apr 14, 2011 · Replies 10 · Apr 18, 2011

Replies: 10

Views: 11K

Probability and Statistics

Probability and statistics are branches of mathematics that deal with the study of uncertainty, randomness, and data analysis. Probability focuses on quantifying uncertainty and likelihood, providing a framework for understanding chance and randomness in various events.

It involves concepts such as random variables, probability distributions, and the laws of probability. Statistics, on the other hand, involves collecting, organizing, analyzing, interpreting, and presenting data. It includes techniques for making inferences about populations based on sample data, estimating parameters, and testing hypotheses.

Together, probability and statistics play a crucial role in fields like science, finance, economics, and social sciences, enabling informed decision-making by providing tools to model uncertainty and draw meaningful conclusions from data.

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