A new two parameter lifetime distribution: model and properties
  In this paper a new lifetime distribution which is obtained by compounding Lindley and geometric distributions, named Lindley-geometric (LG) distribution, is introduced. Several properties of the new distribution such as density, failure rate, mean lifetime, moments, and order statistics are derived. Furthermore, estimation by maximum likelihood and inference for large sample are discussed. The paper is motivated by two applications to real data sets and we hope that this model be able to attract wider applicability in survival and reliability. 
Hojjatollah Zakerzadeh and Eisa Mahmoudi
stat.CO