The field of production frontier estimation is divided between the parametric Stochastic Frontier Analysis (SFA) and the deterministic, nonparametric Data Envelopment Analysis (DEA). This paper explores an amalgam of DEA and SFA that melds a nonparametric frontier with a stochastic composite error. Our model imposes the standard SFA assumptions for the inefficiency and noise terms. The frontier...

Consider a planar Brownian motion run for finite time. The frontier or “outer boundary” of the path is the boundary of the unbounded component of the complement. Burdzy (1989) showed that the frontier has infinite length. We improve this by showing that the Hausdorff dimension of the frontier is strictly greater than 1. (It has been conjectured that the Brownian frontier has dimension 4/3, but ...

Fuzzy clustering is useful to mine complex and multi-dimensional data sets, where the members have partial or fuzzy relations. Among the various deve702 S. Chattopadhyay, D.K. Pratihar, S.C. De Sarkar loped techniques, fuzzy-C-means (FCM) algorithm is the most popular one, where a piece of data has partial membership with each of the pre-defined cluster centers. Moreover, in FCM, the cluster ce...

This paper examines several extensions of the stochastic frontier that account for unmeasured heterogeneity as well as firm inefficiency. The fixed effects model is extended to the stochastic frontier model using results that specifically employ its nonlinear specification. Based on Monte Carlo results, we find that the incidental parameters problem operates on the coefficient estimates in the ...

We consider sequential detection based on quantized data in the presence of eavesdropper. Stochastic encryption is employed as a counter measure that flips the quantization bits at each sensor according to certain probabilities, and the flipping probabilities are only known to the legitimate fusion center (LFC) but not the eavesdropping fusion center (EFC). As a result, the LFC employs the opti...

The idea of the frontier reflects a uniquely colonial view of a place and process of encounter between colonising people, indigenous inhabitants, and natural landscapes.[1] Within this colonial context, the idea of the frontier has been variously developed through history by natural and social scientists, popular historians, artists, writers, and government officials. This volume draws together...

In this paper we tackle the optimal portfolio selection problem (PSP). Many research has been made around this subject mainly in two ways, whether extending the Markowitz model by taking into account real-world constraints (floor-ceiling, class and cardinality) or introducing different risk measures like semivariance, value at risk, absolute desviation, etc. Here, we present the preliminary res...

We consider the case of production units arranged into a number of groups. All units within a group choose output-input combinations from the same production possibilities set, which is represented by a stochastic frontier model. The metafrontier is the envelope (over groups) of the group-specific frontiers. We are interested in the unit’s inefficiency relative to its group-specific frontier, b...

The current study aims to explore the connections between business environments and firms' competitive priorities, which establish the basis for manufacturing strategy. This study explicitly considers the effects of asset and operating frontiers, as well as trade-offs across competitive priorities, a topic which has not been thoroughly studied by prior research. We collected data from 434 Chine...