Statistical Analysis Toolkit

Interactive Visualizations for Probability & Statistics

Bernoulli Distribution

The simplest distribution.

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Bernoulli Process

Visualize the sequence of independent Bernoulli trials and analyze the outcomes over time.

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Binomial Distribution

Explore the probability mass function and observe how parameters n and p affect the distribution shape.

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Group Testing

Understand the efficiency of group testing procedures and their applications in statistical screening.

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Poisson Distribution

Model the probability of a given number of events occurring in a fixed interval of time or space.

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Poisson Process

Simulate and observe the arrival of events over time according to the Poisson process model.

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Normal Distribution

Examine the Gaussian curve and the effects of changing the mean and standard deviation.

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Lognormal Distribution

Analyze this continuous distribution of a random variable whose logarithm is normally distributed.

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Gamma Distribution

Investigate the continuous probability distribution defined by shape and scale parameters.

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Normal 2D (Bivariate)

Visualize the Bivariate Normal Distribution and understand correlation coefficients in 2D space.

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Markov's and Chebyshev's Inequalities

Markov's Inequality and Chebyshev's Inequality are important inequalities for proving the Law of Large Numbers.

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Law of Large Numbers

The average of the results obtained from larges numbers of trials will converge to the expected value.

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Central Limit Theorem

The sampling distribution of the sample mean will approximate a normal distribution as the sample size becomes large.

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The relationship between Sample Mean and Population Mean

The fundamental reason we can use the 'Sample Mean' to infer the 'Population Mean'!"

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The Essence of Confidence Intervals

Try to understand the essence of confidence intervals by simulation

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📬 Contact Us

For inquiries, bug reports, or suggestions:

jxy119@nju.edu.cn

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I shall not live in vain."

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