The development of a Statistically Verifiable Ideal Standard (SVIS) is achieved with the assistance of the Neyman Pearson speculation testing outline function, where we have built SVIS for different toxins given P(X) (or quantile of request ) where X is the convergence of specific contamination. By an exceedance, we imply that the level of a toxin is more prominent than a given edge esteem put somewhere near the controller. As such, if irregular variable T is the contamination level and U is the given edge esteem then the occasion (T > U) is called an exceedance. With the assistance of this SVIS rule, we will check the consistency status of different observing locales in Dehradun city for which information is gathered by the Uttarakhand Pollution Control Board (UPCB). Locales are Ghanta Ghar, Ballupur Flyover, Prem Nagar Chowk, Raipur Road, Mussoorie Road, Dharampur Haridwar Road

Development of SVIS, Construct SVIS, Construct Power Function, Confidence Interval

[1] Angus, J. E., 1994: Bootstrap one-sided confidence intervals for the lognormal mean. The Statistician 43, No.3, pp.395-401, 1994.
[2] Baker, A. G., 1950: Properties of some tests of sequential analysis. Biometrika, 37, pp.334-346, 1950.
[3] Barnett, V. and Bown, M. H., 2002: Best linear unbiased quantile estimators for environmental standards. Environmetrics, Vol.13, Issue.3, pp.295-310, 2002.
[4] Barnett, V. and Bown, M. H., 2002: Setting environmental standards: a statistical approach. Quantitative Methods in Current Environmental Issues. Springer-Verlag, London, pp.99-109, 2002.
[5] Beer, T., 2000: Setting air quality standards: a case study of the Australian National Environment Protection Measure for Ambient Air Quality. Environmetrics, 11, pp.499-510, 2000.
[6] Chami, P., Antoine, R. and Sahai, A., 2007: On Efficient Confidence Intervals for the log-normal mean. Journal of Applied Sciences 7(13), pp.1790-1794, 2007.
[7] Cox, L. H., 2000: Statistical issues in the study of air pollution involving airborne particulate matter. Environmetrics, 11, pp.611-626, 2000.
[8] Dupuis, D. J., 1998: Exceedances over high thresholds: a guide to threshold selection. Extremes 1:3; pp.251-261, 1998.
[9] Finazzi, F., Scott, E. M. and Fasso, S., 2013: A model-based framework for air quality indices and population risk evaluation, with an application to the analysis of Scottish air quality data. Appl. Statist. 62, Part 2, pp.287-308, 2013.
[10] Gilbert, R.O. (1987) Statistical Methods for Environmental Pollution Monitoring. John Wiley and Sons, New York, 1987.
[11] Gun A.M., Gupta M.K., and Dasgupta B. 2013: Fundamental of Statistics. World Press Private Ltd.
[12] Guttorp, P., 2000: Environmental Statistics. Journal of the American Statistical Association, Vol.95, No.449, pp.289-292, 2000.
[13] Guttorp, P.,2000. Setting environmental standards: a statistician’s perspective. National Research Center for Statistics and the Environment, Technical Report, Number 48, 2000.
[14] Krishnamoorthy, K. and Mathew, T., 2003: Inference on the means of lognormal distributions using generalized p-values and generalized confidence intervals. J. of Statistical Planning and Inference 115, 103, 2003.
[15] Land, C. E., 1971: Confidence intervals for the linear function of the normal mean and variance. Ann. Math. Statisti. 42, pp.1187-1205, 1971.
[16] Land, C. E., 1972: An evaluation of approximate confidence interval estimation methods for lognormal means. Technometrics 14, pp.145-158, 1972.
[17] Land, C. E., 1973: Standard confidence limits for linear functions of the normal mean and variance. J. Am. Statist. Assoc. 68, pp.960-963, 1973.
[18] Lehmann, E.L., 1986: Testing of Statistical Hypothesis. John Wiley and Sons, 1986.
[19] Martinez-Florez, G., Bolfarine, H. and Gomez, H. W., 2014: The log power normal distribution with application to air pollution. Environmetrics, 25, pp.44–56, 2014.
[20] Mood, A.M., Graybill F.A. and Boes, D.C. 2006, 5th reprint, Tata McGraw- Hill Publishing Company Limited, New Delhi, 2006.
[21] Niwitpong, S. 2013: Confidence intervals for the mean of lognormal distribution with restricted parameter space. App. Math. Sci., Vol.7, No.4, pp.161 – 166, 2013.
[22] Olsson, U. 2005: Confidence intervals for the mean of a lognormal distribution. J. of Statistics Education, Vol. 13, No. 1.
[23] RaoM.N, and Rao HVN. 1989: Air pollution Tata McGraw Hill Publishing Company Limited. New Delhi, 1989.
[24] Rohatgi, V. K. and Saleh, A. K. 2008, 2nd Edition: An Introduction to Probability and Statistics. Wiley India Pvt Ltd. 2008.
[25] Tanushree Shekhawat, Yashbir Singh., Air Quality of Jaipur City Based on Statistical Verifiable Ideal Standard (SVIS), International Journal of Applied Environmental Sciences ISSN 0973-6077 Vol.13, No.2, pp.121-133, 2018.
[26] Taralden, G., 2005: A precise estimator for the log-normal mean. Statistical Methodology 2, pp.111-120, 2005.
[27] Thompson, M.L., Cox, L.H., Sampson, P.D., and Caccia, D.C., 2000.
[28] Varotsos, K. V., Tombrou, M. and Giannakopoulos, C., 2013. Statistical estimations of the number of future ozone exceedances due to climate change in Europe. Journal of geophysical research atmosphere, Vol.118, Issue.12, pp.6080-6099, 2013.
[29] Wald and Wolfowitz, 1948: Optimum character of SPRT, Ann. Math.Stat., 19, pp.336-339, 1948.
[30] Wald, A., 1947: Sequential Analysis. Wiley, New York.
[31] Weerahandi, S. 1993: Generalized confidence intervals. J. Am. Statist. Assoc. 88, pp.899-905, 1993.
[32] Zhang, B. L., Guan, Y., Leaderer, B. P. and Holford, T. R., 2013: Estimating daily nitrogen dioxide level: exploring traffic effects. The Annals of Applied Statistics, Vol.7, No.3, pp.1763-1777, 2013.
[33] Zhou XH, Gao S. 1997: Confidence intervals for the log-normal mean. Statistics in medicine, Vol.16, pp.783-790, 1997. John Wiley & Sons Ltd.
[34] Zhou XH, Gao S., and Hui, S. L., 1997: Methods for comparing the means of two independent log-normal samples. Biometrics 53, pp.1129- 1135, 1997.