markov chain: meaning, definition, pronunciation and examples
C1Academic / Technical
Quick answer
What does “markov chain” mean?
A mathematical model describing a sequence of possible events where the probability of each event depends only on the state attained in the previous event. It is a stochastic process with the 'memoryless' property.
Audio
Pronunciation
Definition
Meaning and Definition
A mathematical model describing a sequence of possible events where the probability of each event depends only on the state attained in the previous event. It is a stochastic process with the 'memoryless' property.
Used broadly to refer to any system or sequence (often in computer science, statistics, or linguistics) that follows the Markov property of memoryless state transitions, where future states are independent of the past given the present state.
Dialectal Variation
British vs American Usage
Differences
No significant differences in meaning or usage. Spelling conventions for surrounding text apply (e.g., 'analyse' vs. 'analyze').
Connotations
Identical technical connotations in both varieties.
Frequency
Equally frequent in academic/technical contexts in both regions.
Grammar
How to Use “markov chain” in a Sentence
The [MODEL] is modelled as a Markov chain.We can represent this as a Markov chain with [NUMBER] states.The process forms a Markov chain.Vocabulary
Collocations
Examples
Examples of “markov chain” in a Sentence
verb
British English
- The data can be markov-chained to model sequential dependencies. (Note: highly specialised, non-standard verbing)
American English
- We need to Markov-chain this process for the simulation. (Note: highly specialised, non-standard verbing)
adverb
British English
- The system behaves Markov-chain-like. (Note: highly informal and rare)
American English
- The transitions occurred Markov-chain-style. (Note: highly informal and rare)
adjective
British English
- The model uses a Markov-chain approach.
- They derived the Markov-chain properties.
American English
- The analysis relied on Markov-chain assumptions.
- We built a Markov-chain model.
Usage
Meaning in Context
Business
Rare, except in specialised fields like quantitative finance or supply chain modelling.
Academic
Very common in mathematics, statistics, computer science, physics, and computational linguistics papers.
Everyday
Virtually never used.
Technical
The primary context of use. Found in discussions of algorithms, probabilistic modelling, and system simulations.
Vocabulary
Synonyms of “markov chain”
Neutral
Weak
Vocabulary
Antonyms of “markov chain”
Watch out
Common Mistakes When Using “markov chain”
- Incorrect capitalisation: 'markov chain' (should be 'Markov chain').
- Using it as a verb, e.g., 'to Markov chain the data'.
- Treating it as a countable noun without an article: 'It is Markov chain' instead of 'It is a Markov chain'.
FAQ
Frequently Asked Questions
It is a two-word compound noun, but it functions as a single lexical unit. 'Markov' is always capitalised.
It means the system has no memory of its past states. The probability of moving to the next state is determined solely by the current state, not by the path taken to reach it.
Yes. A simple board game like Snakes and Ladders is a Markov chain. Your next position depends only on your current square and the roll of the dice, not on how you got to that square.
A Markov chain typically refers to a process with a discrete set of states and discrete time steps. 'Markov process' is a broader term that can include processes with continuous time or state spaces, though the terms are sometimes used interchangeably.
Markov chain is usually academic / technical in register.
Markov chain: in British English it is pronounced /ˈmɑːkɒf ʧeɪn/, and in American English it is pronounced /ˈmɑːrkɔːf ʧeɪn/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of a 'MARK' on a map. A MARKOV chain is like moving from one MARK to the next, where your next move depends ONLY on your current MARK, not on how you got there.
Conceptual Metaphor
A CHAIN OF EVENTS where each link only 'remembers' the link immediately before it.
Practice
Quiz
What field is most closely associated with the concept of a Markov chain?