CHANGES IN SERUM ENZYMES LEVELS ASSOCIATED WITH LIVER FUNCTIONS IN STRESSED MARWARI GOAT

Serum enzyme levels were determined in goats of Marwari breed belonging to farmers’ stock of arid tract of Rajasthan state, India. The animals were grouped into healthy and stressed comprising of gastrointestinal parasiticised, pneumonia affected, and drought affected. The serum enzymes determined were sorbitol dehydrogenase, malate dehydrogenase, glucose-6-phosphate dehydrogenase, glutamate dehydrogenase, ornithine carbamoyl transferase, gamma-glutamayl transferase, 5’nucleotidase, glucose-6-phosphatase, arginase, and aldolase. In stressed group the mean values of all the enzymes increased significantly (p≤0.05) as compared to respective healthy mean value. All the enzymes showed highest values in the gastrointestinal parasiticised animals and least values in the animals having pneumonia. In gastrointestinal parasiticised animals maximum change was observed in G-6-Pase activity and minimum change was observed in malate dehydrogenase mean value. It was concluded that Increased activity of all the serum enzymes was due to modulation of liver functions directly or indirectly

Doing good with other people's money: A charitable giving experiment with students in environmental sciences and economics

We augment a standard dictator game to investigate how preferences for an environmental project relate to willingness to limit others' choices. We explore this issue by distinguishing three student groups: economists, environmental economists, and environmental social scientists. We find that people are generally disposed to grant freedom of choice, but only within certain limits. In addition, our results are in line with the widely held belief that economists are more selfish than other people. Yet, against the notion of consumer sovereignty, economists are not less likely to restrict others' choices and impose restrictions closer to their own preferences than the other student groups.dictator game, charitable giving, social preferences, paternalism

Skellam and Time-Changed Variants of the Generalized Fractional Counting Process

In this paper, we study a Skellam type variant of the generalized counting process (GCP), namely, the generalized Skellam process. Some of its distributional properties such as the probability mass function, probability generating function, mean, variance and covariance are obtained. Its fractional version, namely, the generalized fractional Skellam process (GFSP) is considered by time-changing it with an independent inverse stable subordinator. It is observed that the GFSP is a Skellam type version of the generalized fractional counting process (GFCP) which is a fractional variant of the GCP. It is shown that the one-dimensional distributions of the GFSP are not infinitely divisible. An integral representation for its state probabilities is obtained. We establish its long-range dependence property by using its variance and covariance structure. Also, we consider two time-changed versions of the GFCP. These are obtained by time-changing the GFCP by an independent L\'evy subordinator and its inverse. Some particular cases of these time-changed processes are discussed by considering specific L\'evy subordinators

Generalized Fractional Counting Process

In this paper, we obtain additional results for a fractional counting process introduced and studied by Di Crescenzo et al. (2016). For convenience, we call it the generalized fractional counting process (GFCP). It is shown that the one-dimensional distributions of the GFCP are not infinitely divisible. Its covariance structure is studied using which its long-range dependence property is established. It is shown that the increments of GFCP exhibits the short-range dependence property. Also, we prove that the GFCP is a scaling limit of some continuous time random walk. A particular case of the GFCP, namely, the generalized counting process (GCP) is discussed for which we obtain a limiting result, a martingale result and establish a recurrence relation for its probability mass function. We have shown that many known counting processes such as the Poisson process of order $k$, the P\'olya-Aeppli process of order $k$, the negative binomial process and their fractional versions etc. are other special cases of the GFCP. An application of the GCP to risk theory is discussed

On the Superposition of Generalized Counting Processes

In this paper, we study the merging of independent generalized counting processes (GCPs). First, we study the merging of finite number of independent GCPs and then extend it to the countably infinite case. It is observed that the merged process is a GCP with increased arrival rates. Some distributional properties of the merged process are obtained. It is shown that a packet of jumps arrives in the merged process according to Poisson process. An application to industrial fishing problem is discussed

Generalized Counting Process: its Non-Homogeneous and Time-Changed Versions

We introduce a non-homogeneous version of the generalized counting process (GCP), namely, the non-homogeneous generalized counting process (NGCP). We time-change the NGCP by an independent inverse stable subordinator to obtain its fractional version, and call it as the non-homogeneous generalized fractional counting process (NGFCP). A generalization of the NGFCP is obtained by time-changing the NGCP with an independent inverse subordinator. We derive the system of governing differential-integral equations for the marginal distributions of the increments of NGCP, NGFCP and its generalization. Then, we consider the GCP time-changed by a multistable subordinator and obtain its L\'evy measure, associated Bern\v{s}tein function and distribution of the first passage times. The GCP and its fractional version, that is, the generalized fractional counting process when time-changed by a L\'evy subordinator are known as the time-changed generalized counting process-I (TCGCP-I) and the time-changed generalized fractional counting process-I (TCGFCP-I), respectively. We obtain the distribution of first passage times and related governing equations for the TCGCP-I. An application of the TCGCP-I to ruin theory is discussed. We obtain the conditional distribution of the $k$th order statistic from a sample whose size is modelled by a particular case of TCGFCP-I, namely, the time fractional negative binomial process. Later, we consider a fractional version of the TCGCP-I and obtain the system of differential equations that governs its state probabilities. Its mean, variance, covariance, {\it etc.} are obtained and using which its long-range dependence property is established. Some results for its two particular cases are obtained