This paper empirically investigates the causal relationship between energy prices and economic performance in South Africa by employing auto-regressive distributed lag (ARDL) bounds test technique for period 1994 to 2019. The empirical evidence that was reviewed used a different methodology covered periods, particularly African context. While previous studies investigated examining oil or elect...

In the simple quantum hypothesis testing problem, upper bounds on the error probabilities are shown based on a key matrix inequality. Concerning the error exponents, the upper bounds lead to noncommutative analogues of the Chernoff bound and the Hoeffding bound, which are identical with the classical counter part if the hypotheses, composed of two density operators, are mutually commutative. Ou...

Since the acceleration of technological advancements, many studies have been done in economics literature on direction and extent relationship between innovation employment. The findings these indicate that there is no unanimity among researchers an innovation-employment relationship. Based annual data for 1990-2018 period, this paper investigates effect employment Turkish economy using ARDL bo...

I develop a new Markov chain algorithm for sampling from sets of multi-way contingency tables defined by an arbitrary set of fixed marginals and by lower and upper bounds constraints on cell counts. My procedure is called the Bounds Sampling Algorithm (BSA) and it relies on the existence of a method to calculate lower and upper bounds for cell entries. BSA accommodates any pattern of structural...

the sharp upper bounds and the sharp lower bounds of the largest eigenvalues $lambda_1$, the least eigenvalue $lambda_n$, the second largest eigenvalue $lambda_2$, the spread and the separator among all firefly graphs on $n$ vertices are determined.