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Efficiency of Some Estimators for a Generalized Poisson Autoregressive Process of Order 1

Efficiency of Some Estimators for a Generalized Poisson Autoregressive Process of Order 1

The paper is organized as follows. In Section 2, for completeness, we review some properties of the generalized Poisson autoregressive process of order 1. In Section 3, we derive the expressions for the moments estimators, the quasi-likelihood and the maximum likelihood estimators of the 3 parameters of the GPAR ( ) 1 . These methods have appeared in the literature (see Al-Nachawati, Alwasel and Alzaid [3] for the quasilike- lihood and moments method and Brännäs [4] for likelihood methods). However, asymptotic properties such as efficiencies of these methods are not discussed in those papers. In this paper (Sections 4 and 5), we study properties of these estimators such as bias and asymptotic efficiency. The last section reanalyzes a real-data example which can be modelled with a GPAR ( ) 1 process, where testing is discussed.
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(0, 0) : order 1; (0, 1) : order 4; (0, 2) : order 2; (0, 3) : order 4; (1, 0) : order 2; (1, 1) : order 4; (1, 2) : order 2; (1, 3) : order 4.

(0, 0) : order 1; (0, 1) : order 4; (0, 2) : order 2; (0, 3) : order 4; (1, 0) : order 2; (1, 1) : order 4; (1, 2) : order 2; (1, 3) : order 4.

(T) Computation in an external direct product of groups is easy if you know how to compute in each component group.. (F) Groups of finite order must be used to form an external direct pr[r]

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A Berry-Esseen bound of order 1/ n for martingales

A Berry-Esseen bound of order 1/ n for martingales

Une limite de Berry-Esseen de l 0 ordre 1/ √ n pour les martingales. Renz [13] a ´ etabli un taux de con- vergence 1/ √ n dans le th´ eor` eme de la limite centrale pour les martingales avec certaines conditions restrictives. Dans le pr´ esent article, une modification des m´ ethodes, d´ evelopp´ ees par Bolthausen [2] et Grama et Haeusler [6], a appliqu´ e pour obtenir le mˆ eme taux de convergence pour une classe de martingales plus g´ en´ erales. Une application aux processus lin´ eaires est discut´ ee. Pour citer cet article : A. Name1, A. Name2, C. R. Acad. Sci. Paris, Ser. I 340 (2005).
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Universal Constant of Division of Order 1

Universal Constant of Division of Order 1

Abstract. The present paper is a mathematical investigation into the division of unique numbers composed of digits in succession. The paper focuses on the division of a number (whose digits are written in the descending order in succession, starting with a two digit number) like 151413121110987654321, by its reverse counterpart number(whose digits are written in the ascending order in succession, ending with the same number that started the descent) which is 123456789101112131415. The author found out the values of the quotients of such divisions up till the division of the number 999897...321 by the number 123...979899, and observed a unique feature common to each division. It was realized that the quotients of two successive divisions of this nature have a constant difference between them, equal to the irrational number 0.0818181... which has been termed as the Universal Constant of Division (UCD) of the first Order. Similar analysis and extrapolation to even higher divisions (involving three digit numbers) reveals a startling yet similar feature about them. The quotients of such huge divisions are tedious to calculate and require computation instead of manual calculation in order to be evaluated. Using the value of UCD of the first order, the author was able to express the complex division quotients in terms of an Arithmetic Progression and thus make the calculations manual and simpler. The author finishes the paper with an introspection into the nature of the Universal Constant of Division and it’s analogy with the Ramanujan formula for Pi. The paper is a study out of sheer observation and tries to dwell deep into the realms of the fascinating operation of division and succession.
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Bounds on the curvature for functions with bounded boundary rotation of order 1−b

Bounds on the curvature for functions with bounded boundary rotation of order 1−b

Bounds on the curvature of level lines under certain classes of univalent and locally univalent mappings, Indian J.[r]

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Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)

Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)

In this paper, the aim of the paper is to control chaos in fractional-order systems by using the economic, simply implemented control scheme and avoid error caused by linearization in many present literatures. Based on the stability theory of fractional-order differential system and the linear feedback control, chaos control of a class of chaotic fractional-order systems is considered, a LMI conditions is established, feedback gains could be found directly from the LMI formulation. It would be specially mentioned that control of FO system with order (1, 2) is discussed. To the best of our knowledge, there are few results on the issue. Finally, a numerical example is given to illustrate the effectiveness and usefulness of the proposed method.
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Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)

Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)

The paper is organized as follows. In Section 2, we first recall some definitions and lemmas used throughout the paper. In Section 3, the stability analysis is presented for autonomous linear fractional differential systems with order 1 < α < 2. The stability of nonautonomous linear fractional differential systems and the corresponding perturbed systems are studied in Sections 4 and 5, respectively. Conclusions and comments are included in Section 6.

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Regulatory Reform (Fire Safety) Order Guidance Note No. 1: Enforcement

Regulatory Reform (Fire Safety) Order Guidance Note No. 1: Enforcement

31. Article 9 of the Order requires the responsible person to carry out a “suitable and suffi cient” assessment of the risks on the premises. What form the assessment takes will be dependent on the type and size of premises or undertaking concerned. What is suitable and suffi cient for one premises will not be suffi cient for another. It will be for enforcing authorities to determine whether they consider that the risk assessment is suitable and suffi cient, taking into account such factors as the nature of the building and the type of undertaking. In each case the determining factor is likely to be whether fi re hazards have been reasonably identifi ed, risk reduction and mitigation carried out and residual risk appropriate protection measures (including management arrangements) implemented or proposed.
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The referral order

The referral order

The referral order was outlined in the final chapter of the 1997 White Paper, No More Excuses 1 . It did not feature in the initial reforms of the youth justice system provided for in the Crime and Disorder Act 1998. It was introduced upon implementation of the Youth Justice and Criminal Evidence Act 1999 and was piloted in 11 areas from March 2000 to August 2001 and, from April 2001, it was ‘rolled out’ around England and Wales. During the piloting period, legislation relating to all sentencing in criminal courts was consolidated, for greater ease of access and clarity, in the Powers of Criminal Courts (Sentencing) Act 2000 (PCC(S)A). Part III of the PCC(S)A contains the primary provisions relating to referral orders. Those provisions have been amended subsequently by The Referral Order (Amendment of Referral Conditions) Regulations 2003. New powers relating to the making of parenting orders (with a referral order) have been introduced by provisions in the Criminal Justice Act 2003.
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Prediction of wind turbine generator bearing failure through analysis of high frequency vibration data and the application of support vector machine algorithms

Prediction of wind turbine generator bearing failure through analysis of high frequency vibration data and the application of support vector machine algorithms

In order to determine whether features change as a generator bearing fault develops in a drivetrain, the FFT spectrum can be compared over time leading up to failure. Section 4 explains what should change in theory by introducing a fault associated with mechanical looseness, and by looking at multiple examples a sense of which features are actually observable in real wind turbine applications can be gained. Finding out to what extent these features are measurable (and in what time frame leading up to failure) is a useful exercise. Figure 7 shows examples of spectra for a wind turbine, with each classification presented leading up to failure.
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Insights into the Reaction Mechanism of the Tetrahydrobenzo[b]pyran by means of Kinetic Studies in the Presence of Fructose as a Green Catalyst

Insights into the Reaction Mechanism of the Tetrahydrobenzo[b]pyran by means of Kinetic Studies in the Presence of Fructose as a Green Catalyst

Extensive kinetic studies were performed to investigate the mechanism of the reaction between 4-methoxybenzaldehyde 1, malononitrile 2, and dimedone 3 in the presence of fructose as a catalyst in a mixture of water and ethanol. The synthesis reaction of tetrahydrobenzo[b]pyran followed second-order kinetics. The partial orders with respect to 1, 2 were one and one, respectively. Temperature effect has been investigated on the reaction rate, and relevant parameters have been determined with two linearized forms of Eyring equation. The proposed mechanism theoretical rate law were compatible with the experimental data. From the temperature, concentration and solvent studies, the activation energy (E a = 70.05 ± 1.39 kJmol -1 ) and the related activation parameters
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QUANTUM CHEMICAL PARAMETER IS A PREDICTIVE TOOL OF MAXIMAL INHIBITORY CONCENTRATION OF PHENOL DERIVATIVES

QUANTUM CHEMICAL PARAMETER IS A PREDICTIVE TOOL OF MAXIMAL INHIBITORY CONCENTRATION OF PHENOL DERIVATIVES

In this paper, we have done quantitative structure activity relationship analysis of twenty five phenol derivatives with the help of three sets of parameter i. e. quantum chemical, topological and geometrical parameter. The values of three sets of parameter are included into three tables separately (Table 1-3). Various QSAR models for each set of parameter are given below:

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Order Effects in Usability Questionnaires

Order Effects in Usability Questionnaires

Despite the limitations of my study mentioned above, the findings demonstrate that the order of the separated evaluation of the single parts of a website can influence the evaluation results under specific conditions. There was not a general halo effect in the sense that a preceding evaluation of the homepage necessarily affects the subsequent ratings of the services. Rather, the halo effect appears to be dependent on the strengths of the association between the website owner and the services. For an obvious association, there will be probably no halo effect. However, for weakly associated services, the order of evaluation can matter. If the association between the website owner and the service is not obvious, the preceding evaluation of the homepage can act as priming of the (good or bad) image or the website owner which in turn will probably create a halo effect that influences the subsequent ratings. Thus, in case of weak (or unclear) associations between the website owner and the components of a website, it is beneficial to test different orders of presentation. This is important in order to prevent a systematic bias of the usability evaluation. However, if the association with the homepage (and the website owner) is obvious for all components, it is rather unlikely that the order of
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Submission to Queensland Floods Commission of Inquiry Order (No. 1) 2011

Submission to Queensland Floods Commission of Inquiry Order (No. 1) 2011

The control panel for the CO 2 ventilation system is located in Basement 1, so this was another expensive service to replace. Repairs will cost over $20,000. Not all parts of this system can be relocated, but the control panel could be. However, retrofitting this panel is expensive. In flood-prone areas buildings should have the control panel above flood levels.

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(Board Order 109/08) Effective September 1, 2008

(Board Order 109/08) Effective September 1, 2008

Each option will present a unique set of benefits and risks to the consumer. In order to choose between options, consumers will need to consider their price choices, the terms and conditions of the contract offered by the marketer, how much natural gas they use, natural gas market conditions, and their own personal risk tolerance.

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Optimal heavy tail estimation – Part 1: Order selection

Optimal heavy tail estimation – Part 1: Order selection

There exist other estimators of α (Resnick, 2007), but here we consider Hill and focus on order selection. We introduce an order selector that is optimal in the sense that, for a given estimation problem, it minimizes a root mean squared error (RMSE) measure for b α in an internal (i.e. within the algo- rithm) simulation loop. In our approach, the search for opti- mal k is performed in a brute force manner and adaptively for a data set. Hence, the approach is computationally intensive. Processes in complex geophysical systems may exhibit not only heavy tail behaviour, but also persistence in the time domain. Let t (i) denote a time value and { t (i), x(i) } n
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A Note to Parents. 1. As you study the list, vary the order of the words.

A Note to Parents. 1. As you study the list, vary the order of the words.

Dolch Second Grade Sight Vocabulary always around because been before best both buy call cold does don't fast first five found gave goes green its made many off or pull read right sing s[r]

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Higher Order Moments, Spectral and Bispectral Density Functions for INAR(1)

Higher Order Moments, Spectral and Bispectral Density Functions for INAR(1)

NAR(1) with α = .25, λ = 3 and µ = 5. . . . . . 12 It is clear that the values of the normalized bispectrum modulus given in Table 2 show that the normalized bispectrum modulus of the NSINAR(1) model is more flat than the non-normalized one given in Table 1 . This indicates that the test of linearity given by Subba Rao and Gabr (1980) and its modification given by Hinich (1982) can be used for integer valued time series models.

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Wednesday 20 January 2021 Order Paper No.162: Part 1

Wednesday 20 January 2021 Order Paper No.162: Part 1

1.00pm Friday 22 January Monday 25 January Opposition Day: subject(s) to be announced 1.00pm Monday 25 January Tuesday 26 January Environment Bill: report stage (Day 1) 1.00pm [r]

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Symmetric generating set of the groups 
A2n+1 and S2n+1 using Sn and an element of order two

Symmetric generating set of the groups A2n+1 and S2n+1 using Sn and an element of order two

and AI-AMRI, IBRAHIM R., "Symmetric Generating Set of the Alternating Groups A2n + 1," Journal of King Abdulaziz University, Educ.[r]

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