Let (RU1, RU2) be a given bivariate scale mixture random vector, with R > 0 being independent of the bivariate random vector (U1, U2). In this paper we derive exact asymptotic expansions of the tail probability P{RU1 > x, RU2 > ax}, a ∈ (0, 1] as x → ∞ assuming that R has distribution function in the Gumbel max-domain of attraction and (U1, U2) has a specific tail behaviour around some absorbin...

We present fiber Bragg grating pressure sensors in air-hole microstructured fibers for high-temperature operation above 800 degrees C. An ultrafast laser was used to inscribe Type II grating in two-hole optical fibers. The fiber Bragg grating resonance wavelength shift and peak splits were studied as a function of external hydrostatic pressure from 15 psi to 2000 psi. The grating pressure senso...

State-space models provide an important body of techniques for analyzing time-series, but their use requires estimating unobserved states. The optimal estimate of the state is its conditional expectation given the observation histories, and computing this expectation is hard when there are nonlinearities. Existing filtering methods, including sequential Monte Carlo, tend to be either inaccurate...

This paper addresses the problem of inference for a multinomial regression model in the presence of likelihood monotonicity. This paper proposes translating the multinomial regression problem into a conditional logistic regression problem, using existing techniques to reduce this conditional logistic regression problem to one with fewer observations and fewer covariates, such that probabilities...

The effect of the modified nucleoside pseudouridine (psi) on RNA structure was compared with uridine. The extent of base stacking in model RNA oligonucleotides was measured by 1H NMR, UV, and CD spectroscopy. The UV and CD results indicate that the model single-stranded oligoribonucleotides AAUA and AA psi A form stacked structures in solution and the CD results for AA psi A are consistent with...

Prior work by others has shown that insertion of psi (i.e., leader) sequences from the Moloney murine leukemia virus (MLV) genome into the 3' untranslated region of a nonviral mRNA leads to the specific encapsidation of this RNA in MLV particles. We now report that these RNAs are, like genomic RNAs, encapsidated as dimers. These dimers have the same thermostability as MLV genomic RNA dimers; li...

The photosystem II (PSII) activity of C3 plants is usually inhibited at noon associated with high light but can be repaired fast in the afternoon. However, the diurnal variation of photosystem I (PSI) activity is unknown. Although, cyclic electron flow (CEF) has been documented as an important mechanism for photosynthesis, the diurnal variation of CEF in sun leaves is little known. We determine...

A remarkable result of Moln\'ar [Proc. Amer. Math. Soc., 126 (1998), 853-861] states that automorphisms the algebra operators acting on a separable Hilbert space is stable under "small" perturbations. More precisely, if $\phi,\psi$ are endomorphisms $\mathcal{B}(\mathcal{H})$ such $\|\phi(A)-\psi(A)\|<\|A\|$ and $\psi$ surjective then so $\phi$. The aim this paper to extend larger class Banach ...