Last Updated：2025/12/03

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Either of two slightly different discrete probability distributions, each based on repetitions of a trial with success probability p: (1) the number X of trials required to obtain one success, or (2) the number Y = X − 1 of failed trials before the first success.

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geometric distribution

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Source Word

geometric distribution

Noun

Either of two slightly different discrete probability distributions, each based on repetitions of a trial with "success" probability p: (1) the number X of trials required to obtain one success, or (2) the number Y = X − 1 of failed trials before the first success.

Japanese Meaning

成功確率pの独立な試行に基づいて定義される離散確率分布。1) 最初の成功が得られるまでの試行回数を表す場合、または2) 最初の成功が出る前の失敗回数を表す場合がある。

What is this buttons?

When modeling repeated Bernoulli trials, the geometric distribution describes either the number of trials required to achieve the first success or the number of failures before that success.

Google Translation / DeepL Translation

独立したベルヌーイ試行の繰り返しをモデル化する際、幾何分布は最初の成功を得るのに必要な試行回数、または最初の成功までの失敗回数のいずれかを表します。

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Sense（1）

If S₁ had been chosen to be a geometric distribution, no a priori choices would have been necessary. This distribution was effective in Suppes (1970), but it would provide a poor fit in this case. If the geometric distribution had been used here, the parameter S₁ would have appeared in every theoretical probability involving N, and whenever one or more adjectives were included, a corresponding number of S₂ = 1 - S₁ terms would have appeared in the probability.

Google Translation / DeepL Translation

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geometric distributions

（ plural ）

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geometric distribution

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geometric distribution

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