Two New Estimators of Entropy for Testing Normality

We present two new estimators for estimating the entropy of absolutely continuous random variables. Some properties of them are considered, specifically consistency of the first is proved. The introduced estimators are compared with the existing entropy estimators. Also, we propose two new tests for normality based on the introduced entropy estimators and compare their powers with the powers of other tests for normality. The results show that the proposed estimators and test statistics perform very well in estimating entropy and testing normality. A real example is presented and analyzed.Comment: 28 page

Spectral Analysis of Multi-dimensional Self-similar Markov Processes

In this paper we consider a discrete scale invariant (DSI) process $\{X(t), t\in {\bf R^+}\}$ with scale $l>1$. We consider to have some fix number of observations in every scale, say $T$, and to get our samples at discrete points $\alpha^k, k\in {\bf W}$ where $\alpha$ is obtained by the equality $l=\alpha^T$ and ${\bf W}=\{0, 1,...\}$. So we provide a discrete time scale invariant (DT-SI) process $X(\cdot)$ with parameter space $\{\alpha^k, k\in {\bf W}\}$. We find the spectral representation of the covariance function of such DT-SI process. By providing harmonic like representation of multi-dimensional self-similar processes, spectral density function of them are presented. We assume that the process $\{X(t), t\in {\bf R^+}\}$ is also Markov in the wide sense and provide a discrete time scale invariant Markov (DT-SIM) process with the above scheme of sampling. We present an example of DT-SIM process, simple Brownian motion, by the above sampling scheme and verify our results. Finally we find the spectral density matrix of such DT-SIM process and show that its associated $T$-dimensional self-similar Markov process is fully specified by $\{R_{j}^H(1),R_{j}^H(0),j=0, 1,..., T-1\}$ where $R_j^H(\tau)$ is the covariance function of $j$th and $(j+\tau)$th observations of the process.Comment: 16 page

Study on physico-chemical properties of the Iranian waters in the Oman Sea

The characteristics physicochemical studies in the northern part of the Oman Sea and Strait of Hormuz within the Iranian waters were conducted during 2007 and 2009.The project was implemented using Ferdous research vessel and with the cooperation of Chah Bahar Research Center. The sampling area included the whole stretch of the Iranian waters along the northern part of the Oman Sea from the northeast of the Iranian marine border of 30 miles Bay of Chabahar to the mouth of the Hormuz Strait in Hormuzgan province. Along this stretch 10 equally distributed transects at a distance of 30 miles away from each other were designated, 4 main sampling stations at a distance of 10 miles from one another were fixed at each transect. Sampling was conducted twice a year ( spring and autumn 2007 and 2009).Physicochemical parameters of water such as temperature, density, salinity, turbidity, dissolved oxygen, pH, EC and chlorophyll-a were recorded at stations using CTD multiparameter probe. Nutrients samples were collected by multi water sampler and were measured by spectrophotometric method. According to achieved results; we can point out to the following outlines below: The beginning of thermocline layer starts in the regional Iranian Territorial Waters of Oman Sea; located at approximate depth of 10m; in spring, 20-40m; in autumn, and at 100m depth in winter; seasons, with an average difference in temperature of 10˚C; between surface and deeper layers. In another word, permanent thermocline exists annually in this body of water; where only the point of start, and the fracture width of thermocline layer; alter with alteration of seasons. Horizontal and vertical distribution of electrical conductivities, obey exactly from thermal degree structure; in such a way that, with increase in temperature; they increase, and with decrease in temperature; they decrease. Level of salinity increase from east to west, but it decrease; from surface to deeper layers. In deeper regions, especially in the midway east of the Oman Sea; the level of salinity in the deeper waters from 150-300m, there is a considerable increase observed in salinity, due to very high salinity waters of The Persian Gulf; that are entering the Sea of Oman, via the Striate of Hormouz from the bottom; where they are having their effect following the whole length of the Sea of Oman; through their path. The level of water density from offshore to onshore, and from surface to deeper levels increase in such a way that; its average in surface layers is 24g/cm^3, and at 400m depth; is 29g/cm^3, and at 600m; reaches to 30g/cm^3. The level of Chlorophyll-a in surface waters, in the northeastern midway; is higher than the northwestern midway of the Sea of Oman, and it decreases from inshore to offshore waters, but its vertical distribution; has caused somehow in a way, that the highest distribution and concentration of chlorophyll-a; to be formed in deeper layers, between about 20-40m depths. Then by the increase in water depth, its concentration decreases drastically; reaching zero in magnitude. Concentration of dissolved oxygen is higher in spring in comparison to that of autumn, and the highest level is achieved in water layers located at 10-40m depth (where the level of chlorophyll-a is higher). In addition to which, that its vertical structure; shows the existence of a permanent oxycline layer at this region, in a way that; by seasonal alterations (similar to that of thermocline layer), only the point of start and that of the thickness of oxycline layer changes. The layer of oxycline is established from seawaters; located at 10m depth in spring, and at20-40m waters in autumn; whereas the same layer is formed at 100m seawaters in winter, and then by water depth increase; it reaches crisis condition. The highest level of water pH; has been achieved in the spring of year 2009 (1388 Iranian Calendar), where some northern and northwestern regions of the Strait of Hormouz; were suffering from the remnants of red tide occurrences (~8.5), where the pH level decreased from water surface, and its vertical alteration trend; obeyed to that of the same for temperature and chlorophyll-a vertical structure, especially for dissolved oxygen parameter, where the maximum decrease was recorded coinciding with formation of oxycline layer. The level of water turbidity increased from offshore to inshore direction, but it decreased from water surface to depth for the Sea of Oman. But nutrient levels increased; at surface water layers from offshore to inshore, and from west to east, for the same body of water. In addition to that, concentration of nutrients in autumn (after monsoon); were more than that of, spring season (before monsoon), where; concentration of their vertical structure increase from water surface toward deeper sections

A survey on environmental effects of shrimp pond culture effluents in Gwatar area (Sistan & Blouchestan)

Present project was conducted in shrimp farm located in east of Chabahar in Sistan and Balouchestan province.Twentieth sampling stations at three locations (i.e. 2 stations in supply channel,13 stations in drainage channel and 5 stations in Gwatar Gulf) were selected to determine physical and chemical factors such as; temperature, salinity, dissolved oxygen, pH, nitrate, nitrite, ammonia, phosphate and biological parameters for example Chlorophyll a, phytoplankton and zooplankton. Sampling was conducted once a month from March 2003 until January 2004. The results revealed different bioenvironmental area in the three locations (i.e. supply channel, drainage channel and Gwatar Gulf) over the study period. Concentration of salinity ,pH , nitatr ,nitrite ,ammonia and chlorophyll a in drainage channel were more than supply channel and Gawtar Gulf. While concentation dissolved oxygen and phosphate were in drainage channel less than Gawtar Gulf.Also, sediment with small grain size (clay and silt) caused uptake phosphate and amount phosphate decreased in drainage channel. Considering with lack of environment standards in Iran shrimp effluent, data compared with others countries standard. Results showed that with considerable farm area, value of temperature, salinity, dissolved oxygen and pH were in permit range in Gwatar Gulf while concentation nitrate, phosphate and chlorophyll a were sometimes more than permit range that could cause plankton bloom. Also, Gwatar Gulf were influence monsoon. Nitate, phosphate, chlorophyll a and phytoplankton increased in gwatar Gulf.Regards with that postmonsoon was simultaneus with shrimp harvest.Therefore, increase some parameters could be caused from shrimp effluent or postmonsoon. Thirty four phytoplankton genus were identified including diatoma, dinoflagellate, cyanophyta and chlorophyta. In each area maxiumum percentage of phytoplankton were belonged to diatoma (63%) in supply channel, cyanophyta (51.7%) in drainage channel and dinoflagellate (94.5%) in Gwatar Gulf.Amount and range chemical and physical factors and plankton composition were different in drainage channel, supply channel and Gwatar Gulf. Cyanophyta could grow more in drainage channel.Percentage of aboundance and diversity of phytoplankton changed in 2002 inrelation to years ago( before shrimp culture, 2000 year and 2001 year) specially in Gwatar Gulf. Mainly percentage of zooplankton were copepoda and thintinida respectively.Diversity zooplankton decreased ratio to years ago. In drainage channel, abundance total of phytoplankton and zooplankton were more than Gwatar Gulf and supply channel

The assessment quality of effluent from shrimp aquaculture site in Gwater

Present study was conducted in shrimp farm located in east of Chabahar in Sistan and Balouchestan province from August 2001 until May 2003. Fourteen stations at three locations (i.e. supply channel, drainage channel and Gwatr Gulf) were selected to determine physical and chemical factors such as; temperature, salinity, dissolved oxygen, pH, nitrate, nitrite, ammonia, phosphate, silicate, total suspended solid and turbidity. Sampling was conducted twice a month during the shrimp culturing period and monthly at other times. Water samples were collected every two weeks to determine Chemical and Physical factors, Chlorophyll a, Phytoplankton and Zooplankton. Sediment samples were collected seasonally to examine Macrobenthos, Grain size and Total Organic Matter. The results revealed different bioenvironmental area in the three locations (i.e. supply channel, drainage channel and Gwatr gulf) over the study period. One-way analyze of variance of chemical and physical factors indicated significant difference between different times as well as different stations (p<0.05). The negative relationship was observed between the culturing production area and the amount of average dissolved oxygen, pH and total suspend solid. An increase in the culturing production area in 2002 as compared to that of 2001 causes a decrease in the amount of these factors. However, it dose indicates positive relationship with nitrate, nitrite, ammonia, transparency and chlorophyll. Forty nine phytoplankton genus were identified, which mainly belong to diatoma, dinoflagellate and green blue algae. Diatom was dominated among these groups. Diatom and green-blue algae and diatom comprised %79, %69 and %64 of phytoplankton flora respectively in supply channel, Gwater Gulf and drainage channel. Copepod and thintinnida were the major groups of zooplankton. High abundance of bivalve, Polychaetes and amphipoda were found in supply channel, Gwatr Gulf and drainage channel respectively. Analysis of grain size showed the existence of sandy sediment in Gulf of Gwatr and sandy-loom in supply channel. Drainage channel sediment found to be sandy-loom, sandy-silty-loom and sand loom. Among three locations, the highest TOM was found in drainage channel. In last location, production area in 2002 increased as compared to that of 2001, which showed negative relationship with salinity, nitrate, nitrite, ammonia and chlorophyll a. Drainage of the Gwatr s shrimp farm did not cause any thermal contamination in the location. Shrimp aquaculture activities caused an increase in the average of salinity, range of pH in the Gwatr Gulf

Identification of local microalgae & their evaluation as live food in aquaculture from Oman Sea

Microalgae are very important organisms in aquaculture as major live food in all growth stages of bivalve, some larval stages of crustaceans, some fishes and zooplankton. In this project with the knowledge that local algae can provide better nutritional balance for local animals. Microalgae were isolated, identified and evaluated for their nutritional value for the first time. Another aim of this research was to create phytoplankton culture collection (Bank) in the south of Iran. Water was sampled from Sistan and Baluchesta coasts, then isolation and purification process were carried out in the lab. Species identification was based on morphology and molecular analyses. rDNA was extracted from each strain after PCR, partial LSU-rDNA region were sequenced and compared with similar sequence from GenBank. In order to evaluate their nutritional properties, relative growth, fatty acids composition, total lipid, carbohydrate, protein, and some vitamins of each purified strain were determined. Totally 25 species were isolated and purified, of which 12 strains were recorded in GenBank and their nutritional potential were assessed. Dunaliella cf. bardawill, Isochrysis sp. Cheatoceros sp. Clorella cf. volgaris, Ochromonas sp. and Synechococcus sp. were the most important species research. Iranian strains were varied in their amount of protein (27-40%), carbohydrate (221%) and lipid (8-13%). Proportions of SFA (21-48%), MUFA (33-53%) and PUFA (11-28.5%) were varied among strains. The highest amount of PUFA and B3 vitamin were found in Clorella cf. vulgaris. The highest content of protein (40.12% dry wt) and total fatty acid concentration (30% dry wt) were found in Dunaliella cf. bardawil and Ochromonas strain(CHPO2) respectively. The maximum content of total fatty acid was observed in Ochromonas sp. (CHPO2). Cheatoceros sp. had higher relative growth rate in comparison with other species