... both the regression and correlation parameters in a GeneralizedEstimatingEquations (GEE) setup The structure is as follows, in Chapter we give a brief introduction to GEE and also introduce ... Xi ∆i diag(νij )∆i Xi and I1 = K i=1 Xi ∆i Cov(yi )∆i Xi (1.1) 1.3 GeneralizedEstimatingEquations As an extension to (1.1), the GEE setup involves solving the following estimating function, ... reasonable to compute the estimatingequations based on all n! permutations of eij Consider UC1 (ρ, β), by expanding the square of the sums and collecting the 2nd order and cross terms, we have,...
... and covariance structures This approach, known as generalizedestimatingequations (GEEs) was pioneered in the human epidemiology and biostatistics field [23,31], and a recent paper by Lange and ... proposed by Rao and Xu [33] and Spyrides-Cunha et al [36] The LMM – and in particular BLUP methodology – is central to both the theory and application of animal breeding [14], and these methods ... both S1 and S2 males yielding BC1 (= S1 × F1 ) and BC2 (= S2 × F1 ) Each backcross female was then mated with a standard reference line of males on four occasions, and the litter size (and other...
... CHAPTER GENERALIZEDESTIMATINGEQUATIONS 16 GeneralizedEstimatingEquations (GEE), the prime subject in my thesis, are traditionally presented as an extension to the standard array of Generalized ... thesis: GeneralizedEstimating Equation method will be presented in detail, and some statistician’s works on GEE method will also be reviewed CHAPTER GENERALIZEDESTIMATINGEQUATIONS Chapter Generalized ... CHAPTER GENERALIZEDESTIMATINGEQUATIONS 14 where µSS it is the mean function for SS-GEEs, vi is the random effects, Zit is a vector of covariates associated with the random effects, and f is...
... and (ii) are treated in Sections and 6, respectively Sections and are devoted to step (iii) Sections and 10 are concerned with Steps (iv) and (v) Section 11 deals with steps (vi) and (vii), and ... Proposition 10.1 and we omit almost all the details We can take K(l) = l − in this case, and we let En and E be given by equations (24) and (25) respectively If l ≡ ±1 (mod 5) and q ≥ are primes ... CLASSICAL AND MODULAR APPROACHES 1017 ˝ [10] Y Bugeaud and K Gyory, Bounds for the solutions of Thue-Mahler equationsand norm form equations, Acta Arith 74 (1996), 273–292 [11] Y Bugeaud and M Mignotte,...
... by static typability, the lemma holds Intro F and Intro F : and F , so and F are consistent By bounded completeness, F and F By upward closure, F F and by static typability, F F F F Furthermore, ... A generalized encoding exists because we can choose three potential representatives for : one ( ) for unifying the representatives of and , one ( ) for unifying the representatives of and , and ... ¡ ' is undefined, and F ¡ 5¦ D , G ! iff H ¡ , E £ ¡ #! $" ! ¡ ¥ to mean We use the notation to mean is defined join homomorphism for all and , , where they exist and S£ disjointness...
... Systematic and Efficient Estimating Procedures Sample HVAC Estimate and Forms Section II—BUDGET ESTIMATING Budget Estimating Section III—EQUIPMENT ESTIMATING Heating and Cooling Equipment HVAC Units and ... overall perspective and detailed understanding of the estimating systems and contractors can switch from manual estimating using this manual to the computer estimating system quickly and easily Section ... forms, detailed estimating, budget estimating, and has many sample estimates It shows you how to produce complete and accurate sheet metal, piping and plumbing estimates quickly and easily It contains...
... mL, mv, and mt = the mass of the liquid, vapor, and total system, respectively VL, Vv, and Vt = the volume of the liquid, vapor, and total system, respectively Combining the two equationsand introducing ... isobutene and mole of n-heptanes The system is separated at a fixed temperature and pressure and the liquid and vapor phases recovered The mole fraction of isobutene in the recovered liquid and vapor ... overall density is between ρL and ρv, it is apparent that both liquid and vapor are present To calculate the weights of liquid and vapor present, the following volume and weight balances are imposed:...
... histological, immunohistochemistry and confocal microscopy studies EPS and CL conceived and designed the study, writed and guided the editing of the manuscript All authors read and approved the final manuscript ... with loco-regional chemotherapy with bleomycin leading to enhanced local control and prolonged survival Electrochemotherapy is still mostly used for the treatment of cutaneous and subcutaneous ... electrode in steel, bakelite, and plastic with perforated metal plates Plate dimensions: 22 × 10 × mm, and Vaccine type twin needle array electrode with plastic handle and steel needles Needle length:...
... L B., Orfao, A., Horny, H P., and Metcalfe, D D.: Standards and standardization in mastocytosis: consensus statements on diagnostics, treatment recommendations and response criteria Eur.J Clin ... Molteni, M., Casalgrandi, M., Manfredi, A A., Bianchi, M E., and Vezzani, A.: Toll-like receptor and highmobility group box-1 are involved in ictogenesis and can be targeted to reduce seizures Nat Med ... Sreenivasula, S., and Adams, J B.: Traditional and non-traditional treatments for autism spectrum disorder with seizures: an on-line survey BMC.Pediatr 2011, 11:37 12 65 Middleton, E, Jr and Kandaswami,...
... histological, immunohistochemistry and confocal microscopy studies EPS and CL conceived and designed the study, writed and guided the editing of the manuscript All authors read and approved the final manuscript ... with loco-regional chemotherapy with bleomycin leading to enhanced local control and prolonged survival Electrochemotherapy is still mostly used for the treatment of cutaneous and subcutaneous ... electrode in steel, bakelite, and plastic with perforated metal plates Plate dimensions: 22 × 10 × mm, and Vaccine type twin needle array electrode with plastic handle and steel needles Needle length:...
... M and all k Î [0, 1]; and q-affine if M is qstarshaped and f(kx + (1 - k)q) = kfx + (1 - k)fq for all x, y Î M and all k Î [0, 1] Page of 10 Sintunavarat and Kumam Journal of Inequalities and ... cl(T(M)) is compact and f and T are continuous; (b): wcl(T(M)) is weakly compact, f is weakly continuous and (f - T) is demiclosed at 0; (c): T(M) is bounded, T is semicompact and f and T are continuous; ... Sintunavarat and Kumam Journal of Inequalities and Applications 2011, 2011:67 http://www.journalofinequalitiesandapplications.com/content/2011/1/67 Hussain et al [27] introduced J H-operator and occasionally...
... 2004 Y K Li and Z Xing, “Existence and global exponential stability of periodic solution of CNNs with impulses,” Chaos, Solitons and Fractals, vol 33, no 5, pp 1686–1693, 2007 Y K Li and L Lu, ... 213–218, 2009 J Zhang and Z Gui, “Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays,” Journal of Computational and Applied Mathematics, ... pp 341–347, 2009 31 M Bohner and A Peterson, Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, USA, 2001 a 32 M Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨...
... derivatives on L, ∞ , and i D1 f x, y if and only if y qr/ q−p , and D1 f x, y > if and only if p−q y > qr; ii D2 f x, y if and only if x −r/ p − q , and D2 f x, y > if and only if q − p x > ... Difference Equationsand Applications, vol 13, no 11, pp 969–1004, 2007 A M Amleh, E Camouzis, and G Ladas, “On second-order rational difference equations II,” Journal of Difference Equationsand Applications, ... b r < and p < q, c r ≥ and p < q, and d r < and p > q We present the proof of case a only, as the proof of the other cases is similar ∈ If r ≥ and p > q, then K1 ∈ m, M and K2 / m, M Note that...
... generalized Emden equation and explained the physical significance of its solutions In a recent paper [4], Bonheure et al obtained some A P Palamides and T G Yannopoulos results on existence and ... [ξ01 ,ξ11 ] properties and so forth and finally we can obtain sequences {ξ0n } and {ξ1n } such that limξ0n = limξ1n = ξM (3.123) By the construction of {ξin } (i = 0,1) and the definition of ξM ... Palamides and T G Yannopoulos 25 A numerical approach By the previous and especially in view of Theorems 3.8 and 3.11, it is obvious that we cannot find out theoretically the maximal point ξM and (then...
... = with λ j ∈ C\R if and only if c = Now c = and 4c − b2 = − b2 > if and only if c = and −2 < b < Therefore if λ2 + bλ + c = has nonreal roots, and λN = 1, we must have c = and −2 < b < j Only ... constants k1 and k2 and for t ∈ Z+ L will be singular if and only if y(t) = k1 1t + k2 t 1t = k1 + k2 t, (A.8) where y(0) = y(N) and y(1) = y(N + 1) The latter periodicity condition forces k1 and k2 ... P Agarwal, Difference Equationsand Inequalities, Monographs and Textbooks in Pure and Applied Mathematics, vol 155, Marcell Dekker, New York, 1992 S Bancroft, J K Hale, and D Sweet, Alternative...
... Difference Equationsand Inequalities Theory, Methods, and Applications, Monographs and Textbooks in Pure and Applied Mathematics, vol 155, Marcel Dekker, New York, 1992 A M Amleh, J Hoag, and G Ladas, ... relations (A.18) and (A.20) are satisfied From (5.1), (5.3) and arguing as in (A.21) we have that zm ym+1 > D2 /C and 168 Fuzzy max-difference equations so from (5.1), (5.3), and (A.16) it follows ... xn , n = m,m + 1, (2.7) Existence and uniqueness of the positive solutions of fuzzy difference equations (1.1) and (1.2) In this section, we study the existence and the uniqueness of the positive...
... Systematic and Efficient Estimating Procedures Sample HVAC Estimate and Forms Section II—BUDGET ESTIMATING Budget Estimating Section III—EQUIPMENT ESTIMATING Heating and Cooling Equipment HVAC Units and ... overall perspective and detailed understanding of the estimating systems and contractors can switch from manual estimating using this manual to the computer estimating system quickly and easily Section ... forms, detailed estimating, budget estimating, and has many sample estimates It shows you how to produce complete and accurate sheet metal, piping and plumbing estimates quickly and easily It contains...
... Earl Bertrand Arthur William Russell Smoothing, Filtering and Prediction: Estimating the Past, Present and Future 14 The first term on the right-hand-side of (43) is independent of H(s) and represents ... Filtering and Prediction: Estimating the Past, Present and Future 20 1 7 20 (b) A , B , C 2 26 and D 0 0 11 30 1 (c) A , B , C 18 18 and ... following models and noise statistics (a) G(s) (s 1) 1 , Q = and R = (b) G(s) (s 2) 1 , Q = and R = (c) G(s) (s 3) 1 , Q = and R = (d) G(s) (s 4) 1 , Q = and R = (e) G(s)...
... II) and 1.232 (for Quality III) when R = 200 stems/ha, and these values are respectively 1.472, 1.419, 1.373 when R = 520 stems/ha, and 1.599, 1.532, 1.474 when R = 840 stems/ha On the other hand, ... in these managed pure uneven-aged stands To build these tables, data about diameter at breast height, stems/ha, mean and dominant height, basal area, volume and diameter growth, were collected ... insufficient to maintain on the long run the structural stability of the stand, and it is necessary to reverse the tendency by reducing standing volume [33]; (c) a 10 years (1981–1991) study on beech natural...