The Brevity Law as a Scaling Law, and a Possible Origin of Zipf's Law for Word Frequencies

Keyphrases

• Scaling Laws 100%
• Frequency Distribution 100%
• Word Frequency 100%
• Zipf's Law 100%
• Brevity Law 100%
• Fixed-length 66%
• Linguistic Laws 66%
• Thermodynamics 33%
• Phenomenology 33%
• Unified Framework 33%
• Statistical Linguistics 33%
• Joint Probability Distribution 33%
• Random Variables 33%
• Language Usage 33%
• Bivariate 33%
• Lognormal 33%
• Gamma Distribution 33%
• Word Type 33%
• Type Frequency 33%
• Length-dependent 33%
• Length Distribution 33%
• Quantitative Linguistics 33%
• Characteristic Frequency 33%
• Absolute Frequency 33%
• Conditional Distribution 33%
• Inverse Power 33%
• Power-law Decay 33%
• Display Power 33%
• Decay Behavior 33%
• Character Frequency 33%
• Number of Characters 33%
• Statistical Law 33%

Engineering

• Scaling Law 100%
• Frequency Word 100%
• Conditional Frequency 100%
• Random Variable ξ 50%
• Lognormal 50%
• Gamma Distribution 50%
• Characteristic Frequency 50%
• Marginals 50%
• Conditional Distribution 50%
• Joint Probability Distribution 50%

Mathematics

• Word Frequency 100%
• Frequency Distribution 100%
• Scaling Law 100%
• Conditionals 66%
• Power Law 33%
• Bivariate 33%
• Conditional Distribution 33%
• Joint Probability Distribution 33%
• Variable Length 33%
• Marginals 33%
• Random Variable 33%