The uniqueness of the profits distribution function in the middle scale region
نویسنده
چکیده
We report the proof that the expression of extended Gibrat’s law is unique and the probability distribution function (pdf) is also uniquely derived from the law of detailed balance and the extended Gibrat’s law. In the proof, two approximations are employed that the pdf of growth rate is described as tent-shaped exponential functions and that the value of the origin of growth rate is constant. These approximations are confirmed in profits data of Japanese companies 2003 and 2004. The resultant profits pdf fits with the empirical data with high accuracy. This guarantees the validity of the approximations. PACS code : 04.60.Nc
منابع مشابه
The uniqueness of company size distribution function from tent-shaped growth rate distribution
We report the proof that the extension of Gibrat’s law in the middle scale region is unique and the probability distribution function (pdf) is also uniquely derived from the extended Gibrat’s law and the law of detailed balance. In the proof, two approximations are employed. The pdf of growth rate is described as tent-shaped exponential functions and the value of the origin of the growth rate d...
متن کاملThe log-normal distribution from Non-Gibrat’s law in the middle scale region of profits
Employing profits data of Japanese firms in 2003–2005, we kinematically exhibit the static log-normal distribution in the middle scale region. In the derivation, a Non-Gibrat’s law under the detailed balance is adopted together with following two approximations. Firstly, the probability density function of profits growth rate is described as a tent-shaped exponential function. Secondly, the val...
متن کاملUniqueness of meromorphic functions ans Q-differential polynomials sharing small functions
The paper concerns interesting problems related to the field of Complex Analysis, in particular, Nevanlinna theory of meromorphic functions. We have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a small function. Outside, in this paper, we also consider the uniqueness of $q-$ shift difference - differential polynomials of mero...
متن کاملDerivation of the Distribution from Extended Gibrat's Law *
Employing profits data of Japanese companies in 2002 and 2003, we identify the non-Gibrat's law which holds in the middle profits region. From the law of detailed balance in all regions, Gibrat's law in the high region and the non-Gibrat's law in the middle region, we kinematically derive the profits distribution function in the high and middle range uniformly. The distribution function accurat...
متن کاملOrienteering Problem with Variable Profits, Fractional Objective Function and Demand on Arcs
Nowadays, due to the high expectations of customers in meeting their demand and the competition environment among service providers, employers are working to provide customers with new methods in the shortest possible time and in the best possible way to attract customer’s satisfaction and maximize profits. In this paper, the orienteering problem with variable profits, fractional objective func...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006