摘要:

AbstractThis article deals with several problems that arise when the Theil coefficient of income inequality is computed in practice.Aggregation of income data into brackets leads to an underestimation of the true Theil inequality, which is defined as the value of the coefficient as computed from individual income data. The assumption that the individual incomes are distributed according to a linear density function within the income brackets is suggested as a method to estimate this aggregation error. Calculations show that this method approximates the true aggregation error reasonably well.Several methods are discussed concerning the treatment of negative incomes. In particular one can construct an income bracket that contains both negative and positive incomes and which in the summation formula is weighted with zero weight. Of all methods this procedure using the assumption of a linear density function within brackets, yields the highest value of the Theil coefficient and is thus preferred to the other alternatives.

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01113.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractIf misclassification occurs the standard binomial estimator is usually seriously biased. It is known that an improvement can be achieved by using more than one observer in classifying the sample elements. Here it will be investigated which number of observers is optimal given the total number of judgements that can be made. An adaptive estimator for the probability of interest is introduced which uses an estimator of this optimal number of observers, obtained without additional cost. Some simulation results are presented which suggest that the adaptive procedure performs quite well.

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01114.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractThe probability distribution of the i –th andj–th order statistics and of the rangeRof a sample of sizen, taken from a population with probability density functionf (x) have been obtained when the sample sizenis a random variableNand has: (i) a generalized Poisson distribution; and (ii) a generalized negative bonimial distribution. Specific results are then obtained; (a) whenf(x) is uniform over (0,1); and (b) whenf(x)is exponential. All the results forN, being a Poisson, binomial and negative binomial rv follow as special ca

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01115.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractRidge type analysis of the Theil–Goldberger mixed model, considered earlier by Saxena and Bhatta–charya (1983) for the non–Bayesian set–up, is discussed from the Bayesian view–point whenahas a closed prior and the loss–function being sq

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01116.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractFor an arbitrary subsetAof the finite state space 5 of a Markov chain the so–called embedded matrixPAis introduced. By use of these matrices formulas expressing all kinds of probabilities can be written down almost automatically, and calculated very easily on a computer. Also derivations can be given very systematicall

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01117.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractIn this paper we consider Markov chains of the following type: the state space is the set of vertices of a connected, regular graph, and for each vertex transitions are to the adjacent vertices, with equal probabilities. When the mean first–passage matrixFof such a Markov chain is symmetric, the expectation and variance of first–entrance times, recurrence times, number of visits to a vertex and the expectation of the number of different vertices visited, can easily be computed from the entries ofF.The method is most effective, when the underlying graph isdistance–regular;thenFis symmetric and the entries of F can easily be obtained from the

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01118.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01119.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY