The Importance Of Deprivation

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Plausible approach uses Alkire and Foster (2011) framework to measure intensity of deprivation in key indicators of human development dimensions. An individual is identified as deprived when the number of dimensions in which the person is deprived is at least above some minimum cut-off number dimension (k). If the number of deprived dimensions falls below the cutoff (k) then the person or the household is not considered poor. Multi-dimensional poverty measurement is typically represented by dimensional achievement which look as follow Indicators [■(x_ij&⋯&x_id@⋮&⋱&⋮@x_jn&⋯&x_nd )] Households Such that, the achievement of any household in all indicators, which is a row of matrix are represented by d-dimensional vector for…show more content…
The threshold is the deprivation cut-offs which are collected in the dimensional vector . If household achievement in a given indicator falls short of the respective cutoff , the household is said to be deprived in that indicator, that is if . From the achievement matrix and vector a deprivation matrix is obtained such that whenever and ,otherwise for all and for all . The vector summarizes the deprivation status values of household in all indicators across the human development dimensions and vector summarizes the deprivation status values of all households in indicator . The uncensored headcount ratio is calculated for indicator j as , which represents the percentage of households n deprived in indicator j. Deprivation in each of the d indicators observed may not…show more content…
The deprivation value attached to the indicator is denoted by . If deprivations are viewed as having different degrees of importance, general weights are applied using a weighting vector whose entries vary, with high weights indicating greater relative value. Based on deprivation profile, each household is assigned a deprivation score that reflects the breadth of each household’s deprivation across all indicators. The deprivation score of each household is the sum of weighted deprivations formally denoted as .Deprivation score of household is denoted by and the column vector of deprivation scores for all households by = . In addition to the deprivation cutoffs, the AF methodology uses a second cutoff to identify multidimensional poor. It is the poverty cutoff and it is denoted by ,which is the minimum cutoff a household needs to exhibit in-order to be identified as multi-dimensionally poor. The poverty cutoff is implemented using an identification which depends upon each household’s achievement vector , the deprivation cutoff , the weight vector and the

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