under some constraints • Express the desired solution as an n-tuple (x1 ‚ . . . ‚ xn ) where each xi ∈ Si ‚ Si being a finite set • The solution is based on finding one or more vectors that maximize‚ minimize‚ or satisfy a criterion function P (x1 ‚ . . . ‚ xn ) • Sorting an array a[n] – Find an n-tuple where the element xi is the index of ith smallest element in a – Criterion function is given by a[xi ] ≤ a[xi+1 ] for 1 ≤ i < n – Set Si is a finite set of integers in the range [1‚n] • Brute force approach
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Aerobic Treatment In the biological process‚ if the micro organisms (aerobes) use free or dissolved oxygen for the degradation of organic wastes‚ it is named as aerobic treatment. The availability of the oxygen for the working of aerobes as an electron acceptor accelerates the biodegradation significantly and maximized the treatment system capacity. Factors influence on treatment process The microorganisms and their growth are the driving force for the degradation process. To achieve a high rate
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FIN 5309 - Estimation Methods - Part II Maximum Likelihood Estimation Guillaume Weisang Clark University gweisang “at” clarku “dot” edu Fall 2011 1 Introduction In this handout‚ I cover some results of point estimation that are essential for an understanding and an enlightened usage of financial econometrics in our FIN 5309 course. Approachable accounts of point estimation theory are available in many textbooks on statistical inference such as (Casella and Berger‚ 2002) and (Mittelhammer
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· = α. 3 (b) First‚ we have ) ∫ 1( 2 1 + αx x αx3 dx = + 2 2 2 −1 −1 ( 3 ) 1 4 x αx 1 = + = ‚ 6 8 3 −1 ∫ E[X12 ] = 1 x2 · and Var[X1 ] = E[X12 ] − E[X1 ]2 = 1 ( α )2 3 − α2 − . = 3 3 9 ) Thus‚ [ n ] [ n ] n ∑ [ ] 1∑ 1 1 ∑ Xi = 2 Var X = Var Xi = 2 Var Var [Xi ] n i=1 n n i=1 i=1 = 1 3 − α2 Var[X1 ] = . n 9n Therefore‚ we have [ ] [ ] 3 − α2 Var[ˆ α] = Var 3X = 9Var X = . n ( ) α 3 − α2 (c) According to the central limit theorem‚ we have X ∼ N ‚ ‚ 3 9n approximately. Therefore‚ α ˆ = 3X
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independent. Evaluate: a) E[2X + 1] b) E[X + Y ] c) E[X − 2Y ] d) E[XY + 1] 3. Suppose V ar[X] = 2‚ V ar[Y ] = 1‚ Cov[X‚ Y ] = 0. Evaluate: a) V ar[X + 2Y ] b) V ar[X − Y ] c) Cov[2X − Y‚ X − 1] n i=1 [Xi 4. Suppose c) n i=1 Xi = 2 and + 2] n i=1 Yi = 3. Evaluate: a) n i=1 [Xi +
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How important was Ci Xi to the fate of the Qing dynasty? Ci Xi‚ also known as the ‘Dragon Empress’ was one of the most daunting women in history and she was one of the three Empresses to rule China. She was well-known for her beauty‚ charm and confident personality. Ci Xi was described as either a ‘good friend’ to many or a enemy. She was eager for power‚ merciless and was very skilled in court politics. She rose from a middle class family to a dowager empress‚ changing and affecting Chinese life
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An Report on Finance Management of College Students Prepared by: Zhou Ying‚ Zhou Li‚ Zhou Shuo‚ Zhu Kejia 5 November‚ 2010 Introduction The purpose of this report is to show how college students manage finance. With the development of social economy‚ people now draw more attention on finance management. It has become an important part in social life to manage finance well. College students form a special range in consumer market. On the one hand‚ they are not financially independent‚ getting
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PART ONE Solutions to Exercises Chapter 2 Review of Probability Solutions to Exercises 1. (a) Probability distribution function for Y Outcome (number of heads) probability Y 0 Y 1 Y 2 0.25 0.50 0.25 (b) Cumulative probability distribution function for Y Outcome (number of heads) Probability (c) Y Y 0 0 0 Y 0.25 1 1 Y 0.75 2 Y 2 1.0 = E (Y ) (0 0.25) (1 0.50) (2 0.25) 1.00 Using Key Concept 2.3: var(Y ) E (Y 2 ) [E (Y )]2 ‚ and E (Y 2 )
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References: Tan‚ C. Torrington‚ D. 2004‚ Human Resource Management in Asia‚ Person Education South Asia Pte‚ Singapore. Fang‚ L‚C. 2005‚ HRM‚ Work and Employment in China‚ Routledge‚ England. Zhu‚ C‚ J. 2005‚ Human Resource Management in China‚ Routledge‚ England. Li Jincheng‚ 2002‚ China’s Human Resources Development and Public Sector Reform Facing Economic Globalization‚ Beijing. Mercer‚ 2006‚ Focus of HR functions shifts from internal operations
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logic make the first logic unable to overcome its contradictions? 5. The biggest schism is found in the divide between _______________ and _________________ 6. While it appears to superficially be reform from above (Deng Xiaoping model; Jiang-Zhu model; Hu-Wen system)‚ Liu argues that it is actually being pushed from below. What is his reasoning for this? 7. “The apathy and the terror of the masses in face of the unfairness provoked...must not be regarded as stability‚ but rather as the
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