mathematical statistics (and corrections) by jun shao, springer 1998 (545 pages)

Ngày tải lên: 08/04/2014, 12:29

... efficient. Solution. (i) By the central limit theorem and the δ-method, √ n( ¯ X 2 − µ 2 ) → d N(0, 4µ 2 σ 2 ). Bythelawoflargenumbers,S 2 → p σ 2 and, hence, S 2 / √ n → p 0. By Slutsky’s theorem, √ n(T 2n − ... is unbiased for ϑ. By the assumption, Var(T n ) ≤ Var(U n ). Hence lim n Var(T n ) = 0 since lim n Var(U n ) = lim n Var  T 1 (X 1 )  /n =0. 88 Chapter 2. Fundamentals of Stat...

Ngày tải lên: 14/02/2014, 09:20

... of probability theory. We are studying probability theory because we would like to study mathematical statistics. Statistics is concerned with the de- velopment of methods and their applications for ... factors providing the y’s. Probability and Mathematical Statistics 7 Remark 1.1. In 1665, Newton discovered the Binomial Series. The Binomial Series is given by (1 + y) α = 1 +  α...

Ngày tải lên: 17/03/2014, 14:20

... the Restoration (). By the turn of the eighteenth century funerals had become elaborate and expensive affairs, marked by the exchange of mourning gloves, scarves, and rings, and often followed by feasts ... Mather at the death of his wife Abigail to “Grudge not her Happiness above; / You live by Faith, and she by Love” (Meserole ). Building on the biblical paradox of losing one...

Ngày tải lên: 21/09/2012, 11:00

... two basic philosophies of statistics: mainstream current statistics views itself as only assessing data and mathematical interpretations of data – called frequentist statistics; the alternative ... 14.2. 104 Preface Medicine without statistics is quackery; statistics without medicine is numerology. Perhaps this is the main reason why clinicians should care about statistics. Stati...

Ngày tải lên: 24/09/2012, 09:06

... sometimes encouragement. This page is where your click, impression, and CTR statistics are broken down by keyword and by the two parts of Google’s extended net- work: search partners and content ... reveals the presence of badly performing keywords and their performance statistics. (Although, as mentioned, you don’t get the statistics that really count — those describing the keyword...

Ngày tải lên: 24/10/2013, 08:20

Ngày tải lên: 01/11/2013, 12:20

... skill needed for word problems is the ability to translate words into mathematical opera- tions. This list will assist you in this by giving you some common examples of English phrases and their mathe- matical ... number increased by five = x + 5. ■ Less than means subtract. 10 less than a number = x − 10. ■ Times or product means multiply. Three times a number = 3x. CHAPTER Data Analysi...

Ngày tải lên: 02/11/2013, 17:20

... and Money 188 Central Bank Design: Decision-Making Framework  Should policy be made by an individual or by a committee? Committees provide safeguards against putting the wrong person in charge Finance ... Design: Policy Tradeoffs  Can’t always have everything at once  Sometimes the economy is hit by a shock that drives inflation and growth in opposite directions  Creates a tradeo...

Ngày tải lên: 03/11/2013, 12:02

... him, her, us, them. It is a common mistake to use / for me, when the pronoun is connected by a conjunction (and, or) with some other word in the accusative case. Study the following correct ... does the work of a Conjunction. The word who, therefore, does double work-the work of a Pronoun and also the work of a Conjunction. We might, therefore, call it a Conjunctive Pronoun....

Ngày tải lên: 20/11/2013, 01:43