transition probability: meaning, definition, pronunciation and examples
Low in general use, high in technical contextsFormal, technical
Quick answer
What does “transition probability” mean?
The probability that a system will move from one specific state to another.
Audio
Pronunciation
Definition
Meaning and Definition
The probability that a system will move from one specific state to another.
Used in stochastic processes, such as Markov chains, to quantify the likelihood of state changes over time in fields like mathematics, physics, and economics.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or grammatical differences; usage is consistent in technical English worldwide.
Connotations
Neutral and precise in both varieties, with no additional connotations.
Frequency
Equally common in academic and technical writing in both British and American English.
Grammar
How to Use “transition probability” in a Sentence
transition probability of [state]probability of transition from [state] to [state]transition probability in [system]Vocabulary
Collocations
Examples
Examples of “transition probability” in a Sentence
verb
British English
- We must transition the system carefully, considering each probability.
- They transitioned the model whilst accounting for new data.
American English
- The process transitions based on the computed probabilities.
- We need to transition the algorithm to handle dynamic changes.
adverb
British English
- The state changes transitionally, with probabilities influencing each move.
- They adjusted the system transitionally to improve accuracy.
American English
- The model operates transitionally, guided by probability estimates.
- Data is processed transitionally to reflect real-world dynamics.
adjective
British English
- The transitional probability analysis revealed key insights.
- We examined the probability data in a transitional context.
American English
- The transition probability matrix is crucial for predictions.
- She presented a probability-based transitional framework.
Usage
Meaning in Context
Business
Applied in risk assessment models and financial market analysis to predict state changes.
Academic
Frequently discussed in statistics, physics, and computer science courses on stochastic processes.
Everyday
Rarely used; may appear in simplified contexts like weather forecasting or game strategies.
Technical
Essential in machine learning, queueing theory, and engineering for modeling random systems.
Vocabulary
Synonyms of “transition probability”
Strong
Neutral
Weak
Vocabulary
Antonyms of “transition probability”
Watch out
Common Mistakes When Using “transition probability”
- Using it to describe deterministic events, or confusing it with general probability without state change.
FAQ
Frequently Asked Questions
It is the probability that a system will transition from one specific state to another, commonly used in fields like statistics and physics.
In academic and technical settings, such as Markov chains in mathematics, queueing theory in operations research, and hidden Markov models in machine learning.
Transition probability specifically focuses on the likelihood of a change or movement between states, whereas general probability can refer to any event's chance without implying transition.
Yes, in non-stationary processes, transition probabilities can vary with time, requiring dynamic models for accurate representation.
The probability that a system will move from one specific state to another.
Transition probability is usually formal, technical in register.
Transition probability: in British English it is pronounced /trænˈzɪʃən ˌprɒbəˈbɪlɪti/, and in American English it is pronounced /trænˈzɪʃən ˌprɑːbəˈbɪlɪti/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Imagine 'transition' as a step in a journey, and 'probability' as the roll of a dice; together, it's the dice roll that determines your next step.
Conceptual Metaphor
A map of uncertain pathways, where each route has a chance of being taken.
Practice
Quiz
What is transition probability primarily used for?