Theoretical and empirical estimates of tolerance to decision maker's errors and of the rate of convergence of methods that find the most preferred element

1992 ◽  
Vol 27 (4) ◽  
pp. 552-560
Author(s):  
M. V. Mikhalevich
Keyword(s):  
Rate Of Convergence ◽  
Empirical Estimates

Products of 2 × 2 stochastic matrices with random entries

1986 ◽  
Vol 23 (04) ◽  
pp. 1019-1024
Author(s):  
Walter Van Assche
Keyword(s):  
Rate Of Convergence ◽  
Beta Distribution ◽  
Stopping Time ◽  
Stochastic Matrices

The limit of a product of independent 2 × 2 stochastic matrices is given when the entries of the first column are independent and have the same symmetric beta distribution. The rate of convergence is considered by introducing a stopping time for which asymptotics are given.

Economic effects of monetary policy in Russia: What do large datasets tell us?

2020 ◽  
pp. 31-53 ◽  
Author(s):  
Anna A. Pestova ◽  
Natalia A. Rostova
Keyword(s):  
Monetary Policy ◽  
Interest Rate ◽  
Interest Rates ◽  
Economic Activity ◽  
Global Financial Crisis ◽  
Exchange Rate Regime ◽  
Aggregate Demand ◽  
Economic Effects ◽  
Theoretical Concepts ◽  
Empirical Estimates

Is the Bank of Russia able to control inflation and, at the same time, manage aggregate demand using its interest rate instruments? In other words, are empirical estimates of the effects of monetary policy in Russia consistent with the theoretical concepts and experience of advanced economies? This paper is aimed at addressing these issues. Unlike previous research, we employ “big data” — a large dataset of macroeconomic and financial data — to estimate the effects of monetary policy in Russia. We focus exclusively on the period after the 2008—2009 global financial crisis when the Bank of Russia announced the abandoning of its fixed ruble exchange rate regime and started to gradually transit to an interest rate management. Our estimation results do not confirm standard responses of key economic activity and price variables to tightening of monetary policy. Specifically, our estimates do not reveal a statistically significant restraining effect of the Bank of Russia’s policy of high interest rates on inflation in recent years. At the same time, we find a significant deteriorating effect of the monetary tightening on economic activity indicators: according to our conservative estimates, each of the key rate increases occurred in March and December 2014 had led to a decrease in the industrial production index by about 0.2 percentage points within a year.

Financial Intermediation and Growth: Theory and Some Cross-Country Evidence

1997 ◽  
Vol 36 (4II) ◽  
pp. 855-862
Author(s):  
Tayyeb Shabir
Keyword(s):  
Economic Growth ◽  
Financial Markets ◽  
Financial Intermediation ◽  
Empirical Estimates ◽  
Financial Liberalisation ◽  
Cross Country ◽  
Level Of Significance ◽  
The Relationship ◽  
Positive Effect ◽  
Theoretical Developments

Well-functioning financial markets can have a positive effect on economic growth by facilitating savings and more efficient allocation of capital. This paper characterises some of the recent theoretical developments that analyse the relationship between financial intermediation and economic growth and presents empirical estimates based on a model of the linkage between financially intermediated investment and growth for two separate groups of countries, developing and advanced. Empirical estimates for both groups suggest that financial intermediation through the efficiency of investment leads to a higher rate of growth per capita. The relevant coefficient estimates show a higher level of significance for the developing countries. This financial liberalisation in the form of deregulation and establishment and development of stock markets can be expected to lead to enhanced economic growth.

scholarly journals Central and Local Limit Theorems for Numbers of the Tribonacci Triangle

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 880
Author(s):  
Igoris Belovas
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Normal Distribution ◽  
Rate Of Convergence ◽  
Limit Theorems ◽  
Local Limit Theorem ◽  
Local Limit ◽  
Constructive Proof ◽  
The Central Limit Theorem ◽  
Local Limit Theorems

In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of convergence to the limiting (normal) distribution, as well as a new proof of the local limit theorem for the numbers of the tribonacci triangle.

A Factorization of Least-Squares Projection Schemes for Ill-Posed Problems

2020 ◽  
Vol 20 (4) ◽  
pp. 783-798
Author(s):  
Shukai Du ◽  
Nailin Du
Keyword(s):  
Least Squares ◽  
Rate Of Convergence ◽  
Convergence Conditions ◽  
Principal Angles ◽  
Factorization Formula ◽  
Ill Posed

AbstractWe give a factorization formula to least-squares projection schemes, from which new convergence conditions together with formulas estimating the rate of convergence can be derived. We prove that the convergence of the method (including the rate of convergence) can be completely determined by the principal angles between {T^{\dagger}T(X_{n})} and {T^{*}T(X_{n})}, and the principal angles between {X_{n}\cap(\mathcal{N}(T)\cap X_{n})^{\perp}} and {(\mathcal{N}(T)+X_{n})\cap\mathcal{N}(T)^{\perp}}. At the end, we consider several specific cases and examples to further illustrate our theorems.

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