Sampling Plans for Control-Inspection Schemes Under Independent and Dependent Sampling Designs with Applications to Photovoltaics

The evaluation of produced items at the time of delivery is, in practice, usually amended by at least one inspection at later time points. We extend the methodology of acceptance sampling for variables for arbitrary unknown distributions when additional sampling information is available to such settings. Based on appropriate approximations of the operating characteristic, we derive new acceptance sampling plans that control the overall operating characteristic. The results cover the case of independent sampling as well as the case of dependent sampling. In particular, we study a modified panel sampling design and the case of spatial batch sampling. The latter is advisable in photovoltaic field monitoring studies, since it allows to detect and analyze local clusters of degraded or damaged modules. Some finite sample properties are examined by a simulation study, focusing on the accuracy of estimation.

[1]  W. Herrmann,et al.  Sampling Procedures for the Validation of PV Module Output Power Specification , 2009 .

[2]  M. C. Jones,et al.  A reliable data-based bandwidth selection method for kernel density estimation , 1991 .

[3]  Ansgar Steland,et al.  New approaches to nonparametric density estimation and selection of smoothing parameters , 2012, Comput. Stat. Data Anal..

[4]  Gerald J. Lieberman,et al.  Sampling Plans for Inspection by Variables , 1955 .

[5]  W. Krumbholz,et al.  Exact two-sided Lieberman-Resnikoff sampling plans , 1991 .

[6]  Henryk Zähle,et al.  Sampling inspection by variables , 2008 .

[7]  W. Krumbholz,et al.  ASN-minimax double sampling plans for variables , 2002 .

[8]  H. Lenz,et al.  On the Non-Robustness of Maximum-Likelihood Sampling Plans by Variables , 1997 .

[9]  Henryk Zähle,et al.  STATISTICAL AND EXPERIMENTAL METHODS FOR ASSESSING THE POWER OUTPUT SPECIFICATION OF PV MODULES , 2006 .

[10]  Piotr Kokoszka,et al.  Inference for Functional Data with Applications , 2012 .

[11]  Ansgar Steland,et al.  Estimation of the quantile function using Bernstein–Durrmeyer polynomials , 2014 .

[12]  Simon J. Sheather,et al.  Indirect Cross-Validation for Density Estimation , 2008, 0812.0051.

[13]  Michael Koehl,et al.  Measurement and simulation of vibrations of PV‐modules induced by dynamic mechanical loads , 2011 .

[14]  Ansgar Steland,et al.  Acceptance sampling plans for photovoltaic modules with two‐sided specification limits , 2014 .

[15]  Ansgar Steland,et al.  Quality Assessment in the Presence of Additional Data in Photovoltaics , 2012 .

[16]  W. Kössler.  A new one-sided variable inspection plan for continuous distribution functions , 2006 .

[17]  Henryk Zähle,et al.  Sampling inspection by variables: nonparametric setting , 2009 .

[18]  Ansgar Steland,et al.  Evaluation of photovoltaic modules based on sampling inspection using smoothed empirical quantiles , 2010 .

[19]  John Shade,et al.  Acceptance Sampling in Quality Control , 2011 .