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    Estimating Future Heat Related Mortality as a Function of Climate Change

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    Proiezioni degli effetti dei cambiamenti climatici Predictions of climate changes health effect

    MISA Metanalisi italiana degli studi sugli effetti a breve termine dell'inquinamento atmosferico 1996-2002Meta-analysis of the Italian studies on short-term effects of air pollution 1996-2002

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    The Italian Meta-analysis of short-term effects of air pollution for the period 1996-2002 (MISA-2) is a planned study on 15 Italian cities, among the larger country towns summing up 9 millions and one hundred thousand inhabitants at 2001 census. Mortality for all natural causes (362254 deaths), for respiratory causes (22317) and cardiovascular causes (146830), and hospital admissions for acute conditions, respiratory (278028 admissions), cardiac (455540) and cerebrovascular (60960), have been considered as HEALTH OUTCOMES DATA. . Mortality data came from Regional or Local Health Unit Registries, while hospital admissions data have been selected from Regional or Hospital Archives (exclusion percentages range for all admissions between 45% and 82%).As AIR POLLUTANTS DATA, daily pollutants concentration series (SO2, NO2, CO, PM10, O3) came from air quality monitoring networks of Regional Environmental Protection Agencies, of Environmental Offices of Provinces or Municipalities. Monitors' selection has been done by a working group composed by representatives of monitoring network Agencies. A generalized linear model on daily counts of health events has been fitted for each city. Linear pollutant effect has been specified and bi-pollutant models have been fitted for PM10+NO2 and PMO+O3. An age-specific natural cubic spline on season has been specified with 5 degree of freedom (on average) per year for mortality and 7 degree of freedom per year for hospital admission data. The base model is age-stratified (0-64, 65-74, 75+ years). Gender, age, season specific models have been fitted, too. Five sensitivity analyses have been done, varying the degree of freedom for the seasonality spline and specifying non parametric functions on temperature. Constrained distributed lag models have been fitted on mortality data to study potential harvesting effects. City-specific results have been meta-analyzed by random effects hierarchical Bayesian model. Four different models have been fitted in the sensitivity analyses, assuming different priors on heterogeneity variance and outlier-resistant prior on city-specific effects. Bayesian meta-regressions have been fitted on base model, bi-pollutant and season-specific city-specific results. Attributable deaths have been estimated by Monte Carlo methods using effect, pollutant, baseline rate distributions. Fourteen different scenarios have been considered for PM10 and ten for NO2 and CO, using meta-analitic and posterior city-specific effect estimates. Pollutants effects are reported as percent increase on mortality or hospital admissions for an increase of 10 microg/m3 of SO2, NO2 and PM10, and 1 mg/m3 of CO. We found an increase on mortality for all natural causes associated to increase of air pollutants concentration (for NO2 0.6% 95%CrI 0.3,0.9; CO 1.2% 0.6,1.7; PM10 0.31% -0.2,0.7). Similar findings were found for cardiorespiratory mortality and hospital admissions for respiratory and cardiac diseases

    Confidence intervals for the skew parameter of the skew normal distribution based on the Fisher transformation

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    In this work our aim is to estimate the distribution of the maximum between variables representing the natural logarithm of the PM10 emission in two stations of the town of Cagliari in Italy in 2004. It turns out that such order statistic has a skew normal distribution with skew parameter which can be expressed as a function of the correlation coefficient between the two initial variables. The skew-normal distribution belongs to a family of distributions which includes the normal one along with an extra parameter to regulate skewness. Azzalini (1985) was the first to introduce the skew-normal distribution and studied some of its properties. Loperfido (2002) showed that the distribution of the maximum between two standardized correlated normal variables, with correlation coefficient rho, is Skew-Normal with parameter lambda which depend of the correlation coefficient rho. In this specific case we show how is possible, using some theoretical results involving the correlation coefficient, to find an approximate confidence interval for the parameter of skew. This theoretical interval is then compared with parametric bootstrap intervals
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