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Sum of Squares

Predictive distribution of regression vector and residual sum of squares for normal multiple regression model

Predictive distribution of regression vector and residual sum of squares for normal multiple regression model

... residual sum of squares (RSS) for the model are derived by using invariant ...residual sum of squares (FRSS) for the future regression model are ...residual sum of squares ...

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Distribution of future location vector and residual sum of squares for multivariate location-scale model with spherically contoured errors

Distribution of future location vector and residual sum of squares for multivariate location-scale model with spherically contoured errors

... residual sum of squares of the future location-scale model, conditional on the realized responses, fol- lows a scaled beta distribution of the second ...

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Verifying inevitability of phase-locking in a charge pump phase lock loop using sum of squares programming

Verifying inevitability of phase-locking in a charge pump phase lock loop using sum of squares programming

... Phase-locking in a charge pump (CP) phase lock loop (PLL) is said to be inevitable if all possible states of the CP PLL eventually converge to the equilibrium where the input and output phases are in lock. We verify this ...

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Distribution of sum of squares and products matrices for the generalized multilinear matrix-T model

Distribution of sum of squares and products matrices for the generalized multilinear matrix-T model

... distribution derived as a sum of squares of samples from a normal population. It has a wide range of applications in statistical inference problems, e.g. testing hypotheses in multivariate analysis, factor ...

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Sum-of-Squares  Meets  Program  Obfuscation,  Revisited

Sum-of-Squares Meets Program Obfuscation, Revisited

... The Ananth-Jain-Sahai “Cubic Assumption”. The work of [2] also obtained a construction of iO based on a (variant of a) pseudorandom generator where every output is a cubic polynomial of the input, but where some ...

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Conditional Sum of Squares Estimation of Multiple Frequency Long Memory Models

Conditional Sum of Squares Estimation of Multiple Frequency Long Memory Models

... We review the multiple frequency Gegenbauer autoregressive moving average model, which is able to reproduce a wide range of autocorrelation functions. Ex- tending the result of Chung (1996a), we propose the asymptotic ...

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The asymptotic behaviour of the residual sum of squares in models with multiple break points

The asymptotic behaviour of the residual sum of squares in models with multiple break points

... An outline of the remainder of the paper is as follows. Section 2 obtains the asymptotic expectation of the minimized residual sum of squares for regression models with exogenous regressors. Section 3 then ...

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Sum of Squares Based Nonlinear Control Design Techniques

Sum of Squares Based Nonlinear Control Design Techniques

... The proposed approach will also be extended to regional output feedback control for a class output-dependent nonlinear systems using rational Lyapunov functions5. Section 3.1 covers a re[r] ...

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Additive  autocorrelation  of  some  classes  of  cubic  semi-bent  Boolean  functions

Additive autocorrelation of some classes of cubic semi-bent Boolean functions

... Remark 3. We observe that the additive autocorrelation and the sum-of-squares indicator of avalanche characteristics of modified Welch functions are efficiently very low. It is to be noted that while the ...

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Identifying the appropriate spatial resolution for the analysis of crime patterns

Identifying the appropriate spatial resolution for the analysis of crime patterns

... Identifying the appropriate spatial resolution for the analysis of crime patterns • residual sum of squares—calculated by simply summing the square of the difference between the number o[r] ...

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The recovery of inter‐block information in balanced incomplete block designs

The recovery of inter‐block information in balanced incomplete block designs

... This latter sum of squares can best be computed by taking the difference of the total sum of squares for blocks (ignoring varieties) and the component of this sum of square[r] ...

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A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems

A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems

... the sum of squares of the polynomials in the over-determined system at the real zeros is identically ...the sum of squares of the input polynomials. If the value of the sum of the ...

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High Speed Fault Tolerant Parallel Ffts Using Error Correction And Detection Codes

High Speed Fault Tolerant Parallel Ffts Using Error Correction And Detection Codes

... and Sum of Squares block. Instead of using Sum of Squares, Partial summation is used for calculating its parity at the input and the output side of the ...

5

Stability of yield and related traits in the land races of rabi sorghum (Sorghum bicolor (L.) Moench)

Stability of yield and related traits in the land races of rabi sorghum (Sorghum bicolor (L.) Moench)

... The pooled analysis of variance (Table 1) revealed that mean sum of squares due to genotypes and environments were significant for the traits viz., days to 50% flowering, days to maturity plant height, test ...

6

On Decompositions of Real Polynomials Using Mathematical Programming Methods

On Decompositions of Real Polynomials Using Mathematical Programming Methods

... is sparse (has only few monomials) it is possible to con- siderable decrease the number of monomials in U . We can use a result, first formulated in [26], that characteri- zes the monomials that can appear in a ...

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Vol 10, No 2 (2019)

Vol 10, No 2 (2019)

... Source Dependent Variable Type III Sum of Squares D.F Mean Square F Sig. This suggests that there is significant difference between / among the groups. It is also n[r] ...

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Real Time Face Detection and Road Sign Detection for Blind People using Open CV

Real Time Face Detection and Road Sign Detection for Blind People using Open CV

... Correlation, Sum of squares, Inverse distinction moment, sum of average, Sum variance, Sum Entropy, difference Variance, difference entropy, statistics measures of correlation, maximal ...

5

Dihaploid induction in tetraploid durum wheat (Triticum durum L ) using pollen of Imperata cylindrica

Dihaploid induction in tetraploid durum wheat (Triticum durum L ) using pollen of Imperata cylindrica

... Analysis of variance for different haploid induction parameters in durum wheat × Imperata cylindrica crosses mean sum of squares Pseudoseed formation frequency.. Embryo formation frequen[r] ...

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On Representations of integers by the quadratic form x2 − Dy2

On Representations of integers by the quadratic form x2 − Dy2

... The representation of integers in binary quadratic forms has been a penchant for math- ematicians throughout history including the well known Pierre de Fermat and Charles Hermite. The area has grown from simple ...

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