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In this paper, we consider a random variable $Z_{t}=\sum_{i=1}^{N_{t}}a_{i}X_{i}$, where $X, X_{1}, X_{2}, \ldots$ are independent identically distributed random variables with mean E X= ï¿½ and variance D X= s>0. It is assumed that Z=0, 0= a<8, and N, t=0 is a non-negative integer-valued...

- Lightning Charge Retrievals: Dimensional Reduction, LDAR Constraints, and a First Comparison with LIS Satellite Data. Koshak, W. J.; Krider, E. P.; Murray, N.; Boccippio, D. J. // Journal of Atmospheric & Oceanic Technology;Nov2007, Vol. 24 Issue 11, p1817
A â€œdimensional reductionâ€ (â€œDRâ€) method is introduced for analyzing lightning field changes (Î”Es) whereby the number of unknowns in a discrete two-charge model is reduced from the standard eight (x, y, z, Q, xâ€², yâ€², zâ€², Qâ€²) to just four (x, y,...

- Identifiability and censored data. N. Ebrahimi; D. Molefe; Z. Ying // Biometrika;Sep2003, Vol. 90 Issue 3, p724
It is well known that, without the assumption of independence between two nonnegative random variables X and Y, the survival function of X is not identifiable on the basis of the joint distribution function of Z = min(X, Y) and Î´ = I(Z = Y). In this paper, we provide a simple condition in the...

- Sparse polynomial multiplication for lattice-based cryptography with small complexity. Akleylek, Sedat; Alkım, Erdem; Tok, Zaliha // Journal of Supercomputing;Feb2016, Vol. 72 Issue 2, p438
In this paper, we propose efficient modular polynomial multiplication methods with applications in lattice-based cryptography. We provide a sparse polynomial multiplication to be used in the quotient ring $$({\mathbb {Z}}/ p{\mathbb {Z}}) [x] / (x^{n}+1)$$ . Then, we modify this algorithm with...

- Adjusting for covariate errors with nonparametric assessment of the true covariate distribution. Pierce, Donald A.; Kellerer, Albrecht M. // Biometrika;Dec2004, Vol. 91 Issue 4, p863
A well-known and useful method for generalised regression analysis when a linear covariate x is available only through some approximation z is to carry out more or less the usual analysis with E(x|z) substituted for x. Sometimes, but not always, the quantity var (x|z) should be used to allow for...

- PREDICTION INTERVAL FOR THE SMALLEST VALUE IN A FUTURE SAMPLE BASED ON IMPRECISE DATA. MUKHERJEE, S. P.; DASGUPTA, NATASA // Journal of Combinatorics & System Sciences;2014, Vol. 39 Issue 1/4, p239
A multiplicative error model involving observable variable Z, true variable X and error E viz. Z=XE, with the error distributed over a finite interval, is suggested for a non-negative random variable. Exact and approximate distributions of Z are worked out. Prediction interval for the smallest...

- A note on special strong differential subordinations using multiplier transformation. Lupaş, Alina Alb; Oros, Georgia Irina; Oros, Gheorghe // Journal of Computational Analysis & Applications;Jan2012, Vol. 14 Issue 1, p261
In the present paper we establish several strong differential subordinations regarding the operator I (m, Î»l), given by I (m, Î»,l): Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed., I (m, Î»,l) f(z, Î¶): = z + Due to image rights...

- A class of multiattribute utility functions. Prékopa, András; Mádi-Nagy, Gergely // Economic Theory;Mar2008, Vol. 34 Issue 3, p591
A function u( z) is a utility function if uâ€²( z) > 0. It is called risk averse if we also have uâ€²â€²( z) < 0. Some authors, however, require that u ( i)( z) > 0 if i is odd and u ( i)( z) < 0 if i is even. The notion of a multiattribute utility function can be defined by...

- A note on special strong differential subordinations using multiplier transformation. Lupaş, Alina Alb; Oros, Georgia Irina; Oros, Gheorghe // Journal of Computational Analysis & Applications;Feb2012, Vol. 14 Issue 2, p261
In the present paper we establish several strong differential subordinations regarding the operator I(m, Î», l), given by I(m, Î», l):Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed, where m âˆˆ â„•âˆª {0}, Î», l â‰¥ 0 and A*nÎ¶...

- SOME RESULTS ON NEAR-RINGS WITH GENERALIZED DERIVATIONS. Gölbaşi, Öznur // Communications Series A1 Mathematics & Statistics;2005, Vol. 54 Issue 2, p21
Let N be a prime right near-ring with multiplicative center Z, f : R â†’ R a generalized derivation associated with derivation d. The following results are proved: (i) If fÂ²(N) = 0 then f = 0. (ii) If 1(N) âŠ‚ Z then N is commutative ring. (iii) f(xy) = f(x)f(y) or f(xy) = f(y)f(x)...