This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from full knowledge of the albedo operator at the boundary of a bounded domain of interest. We present optimal stability results on the reconstruction of the absorption and scattering parameters for a given error in the measured albedo operator.

one of the most important problems of the designs proposed by traditional economic-statistical approaches of control charts is inefficiency in the face of uncertainty. uncertainty in the parameters of economic-statistical models may lead to failure in rapidly detecting changes in processes and impose greater costs to the organization. monitoring the machining process in an automotive industry e...

In India the socio-economic development of different states is spatially heterogeneous. The states can be broadly classified into three categories viz; developed, developing and underdeveloped. The development status of states falling under any one category is influenced by its socio-economic parameters. The earlier studies on regional development have analyzed the socio-economic data but no ef...

The basic purpose of the economic design of the control charts is to find the optimum control charts parameters to minimize the process cost. In this paper, an R package, edcc (economic design of control charts), which provides a numerical method to find the optimum chart parameters is presented using the unified approach of the economic design. Also, some examples are given to illustrate how t...

Control chart is the most well-known chart to monitor the number of nonconformities per inspection unit where each sample consists of constant size. Generally, the design of a control chart requires determination of sample size, sampling interval, and control limits width. Optimally selecting these parameters depends on several process parameters, which have been considered from statistical and...

This paper is intended to be pedagogical rather than a presentation of original research. We describe a simple dynamic, stochastic general equilibrium (DSGE) model with capital utilization, capital adjustment costs, and a simple Cobb-Douglas technology to illustrate how DSGE models can be used to explain the past and to forecast the future. We identify one method to directly estimate latent var...