Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: AbstractHerdan-Heaps law and Lotka’s law are two important laws in linguistics and many other fields, which are often found to coexist in many languages. Herdan-Heaps law describes the type-token relation beten number of distinct words and text length. Lotka’s law concerns the fraction of words with a given number of word occurrences. Utilising a variant of the Simon model, this work demonstrates that if the growth rate of different words follow Herdan-Heaps law, with an exponent in the interval (0,1), then the exponents of Lotka’s law and Herdan-Heaps law are identical. A biparameter por law distribution, i.e. the Waring distribution, is derived within the framework of Simon’s model. Estimators of the Waring distribution parameters are determined and numerical illustrations are provided.
['Yifei Zhang', 'Shi Shan', 'Chunning Yan', 'Junping Qiu', 'Li Xiong']
I am writing a research paper on a idea Herdan-Heaps Law Corresponds to Lotka’s Law: A Dynamic Perspective from Simon’s Model
[{"from": "human", "value": "I am writing a research paper on a idea Herdan-Heaps Law Corresponds to Lotka\u2019s Law: A Dynamic Perspective from Simon\u2019s Model"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: AbstractHerdan-Heaps law and Lotka\u2019s law are two important laws in linguistics and many other fields, which are often found to coexist in many languages. Herdan-Heaps law describes the type-token relation beten number of distinct words and text length. Lotka\u2019s law concerns the fraction of words with a given number of word occurrences. Utilising a variant of the Simon model, this work demonstrates that if the growth rate of different words follow Herdan-Heaps law, with an exponent in the interval (0,1), then the exponents of Lotka\u2019s law and Herdan-Heaps law are identical. A biparameter por law distribution, i.e. the Waring distribution, is derived within the framework of Simon\u2019s model. Estimators of the Waring distribution parameters are determined and numerical illustrations are provided."}]