Definitions for exchangeability
ex·change·abil·i·ty

Princeton's WordNetRate this definition:0.0 / 0 votes

1. exchangeability, interchangeability, interchangeableness, fungibilitynoun

   the quality of being capable of exchange or interchange

WiktionaryRate this definition:0.0 / 0 votes

1. exchangeabilitynoun

   The condition of being exchangeable

WikipediaRate this definition:0.0 / 0 votes

1. exchangeability

   In statistics, an exchangeable sequence of random variables (also sometimes interchangeable) is a sequence X1, X2, X3, ... (which may be finitely or infinitely long) whose joint probability distribution does not change when the positions in the sequence in which finitely many of them appear are altered. Thus, for example the sequences X 1 , X 2 , X 3 , X 4 , X 5 , X 6 and X 3 , X 6 , X 1 , X 5 , X 2 , X 4 {\displaystyle X_{1},X_{2},X_{3},X_{4},X_{5},X_{6}\quad {\text{ and }}\quad X_{3},X_{6},X_{1},X_{5},X_{2},X_{4}} both have the same joint probability distribution. It is closely related to the use of independent and identically distributed random variables in statistical models. Exchangeable sequences of random variables arise in cases of simple random sampling.

ChatGPTRate this definition:0.0 / 0 votes

1. exchangeability

   Exchangeability is a principle or concept within probability and statistics theory where the outcomes of multiple random variables or measurements remain the same regardless of the order in which they are observed or occur. In essence, if the joint probability distribution of these variables remains unchanged under permutations of indices, those variables are said to be exchangeable. This property is crucial in many statistical methods such as Bayesian inference and statistical modelling.

Webster DictionaryRate this definition:0.0 / 0 votes

1. Exchangeabilitynoun

   the quality or state of being exchangeable

Matched Categories

1. • Changeableness

Usage in printed sourcesFrom: 

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How to pronounce exchangeability?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

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   Zira

   US English

   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say exchangeability in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of exchangeability in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of exchangeability in Pythagorean Numerology is: 1

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=exchangeability
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Exchangeability
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Exchangeability
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/exchangeability
6. ^ Usage in printed sources
   https://books.google.com/ngrams/graph?content=exchangeability