Classical Symmetric Laplace Distribution

Kotz, Samuel; Kozubowski, Tomaz J.; Podgórski, Krzysztof

doi:10.1007/978-1-4612-0173-1_2

Cited by 5 publications

(3 citation statements)

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“…We believe that the search for the cumulative characteristic of the type of industry market should be carried out based on the Laplace distribution function (Kotz, Kozubowski, and Podgórski, 2001) and quadratic mean. The type of market will be determined as one of those presented, for which the calculated root mean square probability by the Laplace function is the highest.…”

Section: Market Share Dispersionmentioning

confidence: 99%

Studying the banking industry’s stability through market concentration indices

Chunikhin¹,

Kuzmin²,

Pushkareva³

2019

JESI

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The optimal market structure is one of the fundamental issues of economic theory. At that, companies' efficiency in the market is associated with resource availability as a whole and finance resources, in particular. The structure of the banking market in terms of commercial loans determines a number of parameters of the economic system, such as its stability, growth potential, entrepreneurial activity, the state of commodity markets, the competitiveness of companies, etc. A comparative analysis of countries in terms of the ratio of commercial loans to GDP allows us to identify promising markets and strategic avenues for the development of the global banking industry and investment policy. However, a lack of regular and timely statistical reviews often impedes the identification. With the view to performing a comparative analysis for the EA/ЕU macroregion, the authors attempt to establish the types of the banking market in Russia based on a fuzzy rank approach using the probability theory. Using the data for 2009-2018, the authors assess bank concentration in Russia by a number of indicators. During the period under review, the volume of commercial banking lending in Russia experienced a steady increase. At the same time, there is a clear downward trend in the number of banks; several local "breakdowns" happen once every two years, i.e. the compression rate is reducing. Within the framework of the accepted gradation, the values of concentration indices taken separately do not allow arriving at a firm conclusion, since they indicate contradictory statuses of the sectoral market type. The integrated approach proposed in the paper helped find that, despite a relatively large number of participants in the Russian banking market, it should be primarily identified with a monopoly. At that, the values of the Herfindahl-Hirschman Index (HHI) and standard concentration fall within the oligopoly boundaries. This indicates the fuzzy nature of the sectoral market. The empirical results obtained are of use when analyzing competition, developing antimonopoly regulation measures, adjusting the banking sector development strategy and investment policy.

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Section: Market Share Dispersionmentioning

confidence: 99%

Studying the banking industry’s stability through market concentration indices

Chunikhin¹,

Kuzmin²,

Pushkareva³

2019

JESI

View full text Add to dashboard Cite

show abstract

“…For answering general numeric queries in a differentially private manner, the Laplace distribution [109] (Definition 3) is commonly used to implement the Laplace mechanism [53] (Definition 4).…”

Section: The Laplace Mechanismmentioning

confidence: 99%

“…Definition 3. The univariate, continuous Laplace distribution [109] is a probability distribution given by the following probability density function:…”

Section: The Laplace Mechanismmentioning

confidence: 99%