[PDF] Top 20 Central limit results without independence

... interest in itself, as it can be easily shown that similar results hold in the independence case, but we shall not examine its full import here. Essentially what the lemma says is that if any martingale ... See full document

... statistical limit laws such as the central limit theo- rem (CLT) and corresponding invariance principles (convergence to Brownian motion) hold for large classes of nonuniformly hyperbolic dynamical ... See full document

... By the terminology of summation procedures (see e.g. Chandrasekharan and Minak- shisundaram [], p.) one shows that the larger the weight sequence in ASCLT is, the stronger the relation becomes. Based on this view, ... See full document

... general results on bound- ing the type of integrals appearing in the previous section, for instance ...and results of the general a priori bound from [26], which should really be viewed as some version of ... See full document

... The results of the estimated model with the time-varying monetary policy rule match the broader evidence considered in the ...model without trend inflation in the policy rule is unable to capture the high ... See full document

... funcational central limit theorem for reversed martingales obtained using the standard method of first showing convergence of finite-dimensional distributions and then ...main results of this chapter ... See full document

... sure central limit theorems for the maxima of strongly dependent stationary Gaussian vector sequences are proved under some mild ...The results extend the ASCLT to stationary Gaussian vector ... See full document

... our results in the sequence of theorems formulated in the next section, showing the steady progress in the strengthening of the convergence and estimates via (i) error term estimates for the LLN, (ii) convergence ... See full document

... The standard functional central limit theorem for a renewal process with finite mean and variance, results in a Brownian motion limit. This note shows how to obtain a Brow- nian bridge process ... See full document

... It is certainly tempting to explain the origins of central bank independence in Britain as the predictable outcome of its traumatic monetary history and politics of economic decline. However, this ... See full document

... effectively guarantee that monetary policy itself does not become a source of economic fluctuations: it avoids misguided reactions to short-term developments, providing a safety net against overly ambitious economic ... See full document

... the central banker can correctly anticipate what the public thinks, then an increase in political transparency reduces the variability of inflation and output but does not affect their average ...in central ... See full document

... To solve the contraction between theory and empirical studies, some explanations are provided. Cukierman (1992) divides the sample countries into two groups: developed and developing countries. He finds that there is a ... See full document

... independent central bankers take the median voter's utility as the policy objective is realistic because the median voter can change the central bank ...that central bank independence will be ... See full document

... sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences under some mild ...The results extend the ASCLT to nonstationary Gaussian vector sequences and ... See full document

... C oncentration results of this form have been known for th e cube for some time. Indeed, it was pointed out by T sirel’son in [21] and independently by Pisier (see e.g. [13]) th a t inequality (3.1), w ith bound ... See full document

... In this chapter we plan to generalize some of the results of Cha pt er 2 to the multivariate case. So let X , A ^ 1 \ A7^ , . . . be independent , identically distributed random vectors with values in R tf (the ... See full document

... these results, we undertake several sensitivity ...identical results, while sometimes affecting very marginally the ...the results: for the whole period 1960-1994, the coefficient on CBI index ... See full document

... Early in his Presidency, Carter decided that the economy was recovering and he came to the view that inflation was the real problem. Despite being a fiscal conservative, there were two reasons why Carter did not confront ... See full document

... estimating the spectrum of each random vector, a modified test statistic, which is based on splitting the original n vectors into two equal parts and eliminating the term that contains the inner structure of each random ... See full document