Aguirregabiria and Mira (2007), henceforth AM (2007), study pseudo maximum likelihood estimators of dynamic games and propose an iterative nested pseudo maximum likelihood method. This comment revisits the asymptotic properties of the sequential method. We illustrate that the method may not be consistent. We provide an example in which the sequential method converges to a fixed number distinct ...

2. In the context of a balanced one-way random effect model where the εij’s are N = nk i.i.d. N(0, σ), εij − εi. and εi′. − ε.. are independent for all choices of i, j, and i′. Proof: It suffices to show that cov(εij − εi., εi′.− ε..) = 0 for all i, i′, and j due to normality. case 1 : i = i′. cov(εij − εi., εi. − ε..) = cov(εij, εi.) − cov(εij, ε..) − cov(εi., εi.) + cov(εi., ε..) = σ/n− σ/nk ...

The recent results on the CP violating parameters Re(ε/ε) and ∆φ ≡ φ00 − φ+− reported by the KTeV Collaboration are analyzed with a view to constrain CP , T and CPT violations in a decay process. Combining with some relevant data compiled by the Particle Data Group, we find Re(ε2− ε0) = (0.85±3.11)×10−4 and Im(ε2− ε0) = (3.2±0.7)×10−4, where Re(εI) and Im(εI) represent respectively CP/CPT and C...

Let G be a connected reductive group over C and let g be the Langlands dual Lie algebra. Crystals for g are combinatoral objects, that were introduced by Kashiwara (cf. for example [5]) as certain “combinatorial skeletons” of finite-dimensional representations of g. For every dominant weight λ of g Kashiwara constructed a crystal B(λ) by considering the corresponding finite-dimensional represen...

For a finite function class we describe the large sample limit of the sequential Rademacher complexity in terms of the viscosity solution of a G-heat equation. In the language of Peng’s sublinear expectation theory, the same quantity equals to the expected value of the largest order statistics of a multidimensional G-normal random variable. We illustrate this result by deriving upper and lower ...

This reproduces the calculations studied in Cochrane, Longstaff and Santa-Clara (‘Two Trees’, The Review of Financial Studies, vol. 21 no. 1, 2008) and Ian Martin, ‘The Lucas Orchard,’Econometrica, January 2013 (see especially Figure 3). It is an exercise that uses projection as a solution method. Consider an economy with two trees, tree number 1 and tree number 2. The quantity of fruit that fa...

Power and sample size calculations for experiments modeled with binary logistic regression are becoming more common, and are even available as freeware (e.g. Ralph O’Brien’s UnifyPow application). Somewhat less common, if not altogether absent, is software that allows power analysis for multinomial logistic regression models. Using the algorithm introduced below, it is now possible to compute p...

One of the main sources of destruction during earthquake is resonance. Therefore, the following idea has been proposed. We design special control linkages between floors that are normally unattached to the building but can be attached if necessary. They are so designed that adding them changes the building’s characteristic frequency. We continuously monitor displacements within the structure, a...

In this paper we establish dimension free Lp(Rn, |x|α) norm inequalities (1 < p < ∞) for the oscillation and variation of the Riesz transforms in Rn. In doing so we find Ap−weighted norm inequalities for the oscillation and the variation of the Hilbert transform in R. Some weighted transference results are also proved. INTRODUCTION Throughout (X,F , μ) will denote an arbitrary σ−finite measure ...

Note that the existence of free subgroups in G̃ for n > 3 follows immediately from the free subgroup theorem for one-relator groups. Thus, Theorem 1 is nontrivial only for n = 2. The most difficult case is n = 1. An important role in this situation is played by the exponent sum of the generator in the relator. A word w = ∏ git εi ∈ G ∗ 〈t〉∞ is called unimodular if ∑ εi = 1. If the exponent sum o...