Skip to product information
1 of 1

Atushi Ishikawa

Statistical Properties in Firms' Large-scale Data

Statistical Properties in Firms' Large-scale Data

YOU SAVE £12.88

Regular price £87.11 GBP
Regular price £99.99 GBP Sale price £87.11 GBP
12% OFF Sold out
Tax included. Shipping calculated at checkout.
  • Condition: Brand new
  • UK Delivery times: Usually arrives within 2 - 3 working days
  • UK Shipping: Fee starts at £2.39. Subject to product weight & dimension
Trustpilot 4.5 stars rating  Excellent
We're rated excellent on Trustpilot.
  • More about Statistical Properties in Firms' Large-scale Data


This book is the first to provide a systematic description of statistical properties of large-scale financial data, including power-law and log-normal distributions, time-reversal symmetry, quasi-time-reversal symmetry, Gibrat's law, and the non-Gibrat's property. It also discusses the statistical properties observed over a long-term period, such as power-law and exponential growth.

Format: Hardback
Length: 140 pages
Publication date: 26 June 2021
Publisher: Springer Verlag, Singapore


This groundbreaking work is the first to present a comprehensive and systematic account of the statistical characteristics of large-scale financial data. It delves into the analysis of power-law and log-normal distributions observed at specific points in time, as well as their evolution through the application of time-reversal symmetry, quasi-time-reversal symmetry, Gibrat's law, and the non-Gibrat's property observed in short-term periods. Furthermore, the book extends its scope to encompass the derivation of statistical properties observed over extended periods, such as power-law and exponential growth.

These topics, which have previously received limited attention within the realm of economics, are thoroughly explored in this book. By reconstructing the data analyses previously published in 15 academic journals with new data, the author has compiled a comprehensive collection of studies. This book offers readers a theoretical and empirical framework for understanding the relationships between the statistical properties observed in large-scale financial data along the time axis.

The potential for expanding this discussion to explore the relationships between statistical properties observed among different large-scale financial data sets is also noteworthy. This expansion provides readers with a valuable approach to microfoundations, a critical issue that has been extensively studied in economics for many years. By examining the statistical properties of large-scale financial data, researchers can gain insights into the underlying mechanisms and processes that drive financial markets and economies.

In conclusion, this groundbreaking work is a seminal contribution to the field of economics, providing a comprehensive and systematic account of the statistical properties of large-scale financial data. It offers readers a deep understanding of the theoretical and empirical foundations of this important area, paving the way for further research and advancements in the field.

Weight: 454g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811622960
Edition number: 1st ed. 2021

This item can be found in:

UK and International shipping information

UK Delivery and returns information:

  • Delivery within 2 - 3 days when ordering in the UK.
  • Shipping fee for UK customers from £2.39. Fully tracked shipping service available.
  • Returns policy: Return within 30 days of receipt for full refund.

International deliveries:

Shulph Ink now ships to Australia, Canada, France, Ireland, Italy, Germany, Spain, Netherlands, New Zealand, United States of America, Belgium, India, United Arab Emirates.

  • Delivery times: within 5 - 10 days for international orders.
  • Shipping fee: charges vary for overseas orders. Only tracked services are available for international orders.
  • Customs charges: If ordering to addresses outside the United Kingdom, you may or may not incur additional customs and duties fees during local delivery.
View full details