This supplementary material contains the proof of Theorem 7.1 in the main paper. The following lemma is useful. Lemma 0.1. For a general loss function Ln, suppose it is twice differentiable in a neighborhood of β0. Assume max l / ∈S ∣∣∣∣∂Ln(β0) ∂βl ∣∣∣∣ = op(P ′ n(0)), (0.1) and there is a neighborhood U ⊂ R of β0S such that sup βS∈U max l / ∈S,j∈S ∣∣∣∣∂2Ln(βS, 0) ∂βl∂βj ∣∣∣∣ = op(P ′ n(0) skn ...

Riemannian cubics are curves used for interpolation in Riemannian manifolds. Applications in trajectory planning for rigid bodiy motion emphasise the group SO(3) of rotations of Euclidean 3-space. It is known that a Riemannian cubic in a Lie group G with bi-invariant Riemannian metric defines a Lie quadratic V in the Lie algebra, and satisfies a linking equation. Results of the present paper in...

We study semiparametric likelihood-based methods for panel count data with proportional mean model E[N(t)|Z] = Λ0(t) exp(β 0 Z), where Z is a vector of covariates and Λ0(t) is the baseline mean function. We propose to estimate Λ0(t) and β0 jointly with Λ0(t) approximated by monotone polynomial B -splines and to compute the estimators using the generalized Rosen algorithm utilized in Zhang and J...

A compact approach based on the folding model is suggested for the determination of the isoscalar and isovector transition strengths of the low-lying (∆S = ∆T = 0) excitations induced by inelastic proton scattering measured with exotic beams. Our analysis of the recently measured inelastic O+p scattering data at Elab = 30 and 43 MeV/nucleon has given for the first time an accurate estimate of t...

در بررسی­های فونستیک سال 2011 دامنه جنوبی رشته کوه­های زاگرس ایران، یک نمونه ماده از گونه Amphipyra kautti Hacker, 2002 متعلق به خانواده Noctuidae و زیرخانواده Amphipyrinae مناطق کوهستانی استان کهگیلویه بویراحمد جمع­ آوری شناسایی شد. این که برای اولین بار ایران گزارش می­شود، همراه با ویژگی­های افتراقی، تصویر الگوی بال اندام تناسلی شده ارائه است. اطلاعات مربوط دیگر همین جنس مطالعه نیز

Without loss of generality, consider the case with Bk = B ∩ (τk−1, τk] only, where 0 = τ0 < τ1 < · · · < τn < c for some positive finite value c. The results can be similarly extended to the situation with ties among the ending times. Throughout this section, δ, c1 and c2 denote some finite, positive real numbers, where c1 < c2. Let ρ (1) j (t; β) denote the vector of the first partial derivati...