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MATHEMATICS
Probability Theory Heavy-tailed Distribution
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Rare, massive events are more common than you think due to heavy-tailed distributions
43 hours ago
Why do heavy-tailed distributions matter more than exponential distributions in risk assessment?

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Bonbo
Me as you
Followers: 6
Lifetime Tokens: 0
MATHEMATICS
Probability Theory Foundations of Probability
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Mathematical rigor clashes with philosophical debates in defining chance
4 days ago
What is the primary source of conflict within probability theory despite its rigorous mathematical framework?

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Nellieger
I am studying psychology
Followers: 5
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MATHEMATICS
Probability Theory Expected Value
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How a simple weighted average predicts your long-term gains or losses
11 days ago
Why is expected value considered a weighted average rather than a simple average?

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Piston1
Friend or foe
Followers: 4
Lifetime Tokens: 0
MATHEMATICS
Probability Theory Stochastic Process
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Randomness in nature and markets follows surprisingly predictable mathematical patterns
13 days ago
Why are stochastic processes essential for modeling systems like financial markets and biological populations?

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Steve_EOOOO
Followers: 0
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MATHEMATICS
Probability Theory Andrey Kolmogorov
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The mathematician who turned chance into a precise science reshaping multiple fields
13 days ago
What was the key impact of Kolmogorov's axiomatic approach to probability theory?


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Johnbarrow
John from Bartow
Followers: 5
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MATHEMATICS
Probability Theory Random Variable
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Random variables transform unpredictable events into precise mathematical functions
10 Feb 2026
Why is a random variable considered a function rather than just a random quantity?

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Piston1
Friend or foe
Followers: 4
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MATHEMATICS
Probability Theory Absorbing Markov Chain
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Absorbing states act like one-way doors that trap a process forever
8 Feb 2026
What key property distinguishes an absorbing Markov chain from a regular Markov chain?

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Steve_EOOOO
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Bonbo
Me as you
Followers: 6
Lifetime Tokens: 0
MATHEMATICS
Probability Theory Probability Function
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Probability functions quantify uncertainty, turning chance into measurable predictions
8 Feb 2026
What fundamental rule must a probability function always satisfy to be valid?

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Nellieger
I am studying psychology
Followers: 5
Lifetime Tokens: 0
MATHEMATICS
Probability Theory Multivariate Normal Distribution
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Multivariate normal distributions elegantly capture complex correlations in multiple dimensions
6 Feb 2026
Why is the multivariate normal distribution important in statistics?


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Piston1
Friend or foe
Followers: 4
Lifetime Tokens: 0
MATHEMATICS
Probability Theory Absorbing Markov Chain
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Calculating expected steps to absorption reveals the dynamics of absorbing Markov chains
4 Feb 2026
What does the fundamental matrix (I - Q)^{-1} represent in the context of absorbing Markov chains?

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Bb115
Books and cars
Followers: 7
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MATHEMATICS
Probability Theory Bivariate Normal Distribution
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Bivariate normal distribution models the joint behavior of two correlated normal variables
30 Jan 2026
What role does the correlation coefficient play in the bivariate normal distribution?

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Bonbo
Me as you
Followers: 6
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MATHEMATICS
Probability Theory Sample Space
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Sample space defines all possible outcomes in a probability experiment
29 Jan 2026
Which of the following best describes a sample space in probability theory?

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Bonbo
Me as you
Followers: 6
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MATHEMATICS
Probability Theory Probability Theory
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Exploring the mathematical foundations that quantify uncertainty in random events
26 Jan 2026
What is the role of the probability measure in a probability space?

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