### What does **hyperexponential distribution** mean?

# Definitions for hyperexponential distribution

hy·per·ex·po·nen·tial dis·tri·bu·tion

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **hyperexponential distribution**.

### Wikipedia

Hyperexponential distribution

In probability theory, a hyperexponential distribution is a continuous probability distribution whose probability density function of the random variable X is given by f X ( x ) = ∑ i = 1 n f Y i ( x ) p i , {\displaystyle f_{X}(x)=\sum _{i=1}^{n}f_{Y_{i}}(x)\;p_{i},} where each Yi is an exponentially distributed random variable with rate parameter λi, and pi is the probability that X will take on the form of the exponential distribution with rate λi. It is named the hyperexponential distribution since its coefficient of variation is greater than that of the exponential distribution, whose coefficient of variation is 1, and the hypoexponential distribution, which has a coefficient of variation smaller than one. While the exponential distribution is the continuous analogue of the geometric distribution, the hyperexponential distribution is not analogous to the hypergeometric distribution. The hyperexponential distribution is an example of a mixture density. An example of a hyperexponential random variable can be seen in the context of telephony, where, if someone has a modem and a phone, their phone line usage could be modeled as a hyperexponential distribution where there is probability p of them talking on the phone with rate λ1 and probability q of them using their internet connection with rate λ2.

### Numerology

Chaldean Numerology

The numerical value of hyperexponential distribution in Chaldean Numerology is:

**2**Pythagorean Numerology

The numerical value of hyperexponential distribution in Pythagorean Numerology is:

**7**

### Translation

#### Find a translation for the **hyperexponential distribution** definition in other languages:

Select another language:

- - Select -
- 简体中文 (Chinese - Simplified)
- 繁體中文 (Chinese - Traditional)
- Español (Spanish)
- Esperanto (Esperanto)
- 日本語 (Japanese)
- Português (Portuguese)
- Deutsch (German)
- العربية (Arabic)
- Français (French)
- Русский (Russian)
- ಕನ್ನಡ (Kannada)
- 한국어 (Korean)
- עברית (Hebrew)
- Gaeilge (Irish)
- Українська (Ukrainian)
- اردو (Urdu)
- Magyar (Hungarian)
- मानक हिन्दी (Hindi)
- Indonesia (Indonesian)
- Italiano (Italian)
- தமிழ் (Tamil)
- Türkçe (Turkish)
- తెలుగు (Telugu)
- ภาษาไทย (Thai)
- Tiếng Việt (Vietnamese)
- Čeština (Czech)
- Polski (Polish)
- Bahasa Indonesia (Indonesian)
- Românește (Romanian)
- Nederlands (Dutch)
- Ελληνικά (Greek)
- Latinum (Latin)
- Svenska (Swedish)
- Dansk (Danish)
- Suomi (Finnish)
- فارسی (Persian)
- ייִדיש (Yiddish)
- հայերեն (Armenian)
- Norsk (Norwegian)
- English (English)

### Word of the Day

#### Would you like us to send you a **FREE** new word definition delivered to your inbox daily?

## Citation

#### Use the citation below to add this definition to your bibliography:

**Style:**MLAChicagoAPA

"hyperexponential distribution." *Definitions.net.* STANDS4 LLC, 2024. Web. 11 Nov. 2024. <https://www.definitions.net/definition/hyperexponential+distribution>.

## Discuss these hyperexponential distribution definitions with the community:

## Report Comment

We're doing our best to make sure our content is useful, accurate and safe.

If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.

## Attachment

## You need to be logged in to favorite.

## Log In